Solving Trigonometric Equations
205 videos • 14,853 views • by Ms Shaws Math Class
1
Use Calculator To Solve Equations On Interval [0, 2pi) cot x =2, tan x =5, cos x =0.6, sin x = 0.4
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2
Use Calculator To Solve Equations On Interval [0, 2pi). cos x =-0.9, sin x =-0.2, sec x = -4, csc x
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3
Use a Calculator To Solve Each Equation On The Interval [0, 2pi). Part 3
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4
How to solve equations involving single linear trigonometric functions
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5
How to solve Trig equations with arguments other than theta
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6
How to solve trig equations with cot, tan, sec, csc with arguments other than theta
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7
How to solve trig equations quadratic in form
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8
How to solve trig equations linear in form
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9
How to solve trig equations with identities
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10
How to solve basic trig equations linear in form
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11
Introducing how to solve trig equations with different arguments
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12
How to solve trig equations with different arguments. Part 1
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13
How to solve trig equations linear in form. Part 2
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14
How to give a general formula for trig equations and give six solutions
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15
How to solve and give a general formula for trig equations with different arguments.
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16
How to solve trig equations with different arguments. Part 2
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17
How to solve trig equations quadratic in form Part 1
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18
How to solve trig equations quadratic in form Part 2
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19
How to solve trig equations by division
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20
How to solve trig equations using double angle identities
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21
How to solve trig equations with double angle identities. Part 2
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22
How to solve trig equations with sum to product identities
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23
How to solve trig equations by factoring trinomials. Part 1
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24
How to solve trig equations by factoring trinomials. Tan Sec Csc etc
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25
How to solve trig equations. Part 1 Secant and Tangent
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26
How to solve trig equations linear in sine and cosine. Part 1
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27
How to solve trig equations linear in sine and cosine. Part 2
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28
How to solve trig equations linear in sine and cosine. Part 3
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29
How to solve trig equations linear in sine and cosine. Part 4
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30
How to solve trig equations with tangent. Part 1
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31
How to solve trig equations with tangent. Part 2
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32
How to solve trig equations. Give a general formula. List six solutions. Part 1
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33
How to solve trig equations. Give a general formula. List six solutions. Part 2
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34
How to solve trig equations. Part 1
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35
How to solve trig equations. Part 2
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36
How to solve trig equations. Part 3
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37
How to solve trig equations. Part 4
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38
How to solve tan 4x = -1
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39
Find Six Trigonometric Functions For 0, 90, 180, 270, 360 Degrees. Quadrantals
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40
Solve 5 sin(3x) + 2.564 = - 0.816 [0, 10] With Calculator
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41
Solve 4 cos(2x) - 1.803 = -0.916 [-6, 6] With Calculator
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42
Solve 2 Cos(3x) + 0.564 = -0.816 [0, 8] With Calculator
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43
Solve the Trigonometric Equation. Give General Formula. List Six Solutions On Given Interval. P2
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44
Solve the Trigonometric Equation. Give General Formula. List Six Solutions On Given Interval P1
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45
Solve Trigonometric Equation On The Interval [0, 2pi) Double Angles P3
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46
Solve Trigonometric Equation On The Interval [0, 2pi) Double Angles P2
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47
Solve Trigonometric Equation On The Interval [0, 2pi) Double Angles P1
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48
Solve Trigonometric Equation On The Interval [0, 2pi) 1- sin x = 2 cos^2 x
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49
Solve Trigonometric Equation On The Interval [0, 2pi) cos^2 x + sin x = 3
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50
Solve Trigonometric Equation On The Interval [0, 2pi) P3
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51
Solve Trigonometric Equation On The Interval [0, 2pi) P2
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52
Solve Trigonometric Equation On Interval [0, 2pi) 2 tan^2 x -1=- tan^2 x
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53
Solve Trigonometric Equations. Linear Pattern
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54
Solve Trigonometric Equations On [0, 2pi) By Taking Square Root On Both Sides
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55
Solve Trigonometric Equations With Special Cases.
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56
Solve Trigonometric Equations By Factorization. Quadratic Form
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57
Solve Trigonometric Equations by Factorization and Pythagorean Identities
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58
Solve Trigonometric Equations With Double Angle Identities. Part 1
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59
Solve Trigonometric Equations With Double Angle Identities. Part 2
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60
Solve Trigonometric Equations With Double Angle Identities. Part 3
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61
Solve Trigonometric Equations On [0, 2pi)
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62
Find tangent x given cosine x knowing Pythagorean triplets
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63
How many seconds does it take for Ferris Wheel to go from bottom to top. Equation given
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64
Find equation of function given period of 8 and and a max height of 1 if one cycle is graphed
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65
Solve the equation 4-cos2x +5sin x for [0, 2pi]. Math SL
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66
Solve cos 2x - 3 cos x - 3 - cos^2 x = sin^2 x for [0, 2pi]. Math SL
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67
Simplify sin^3 x + cos^3 x tan x. Sin x = 2/3. Find f(2x). Double Angles Formula
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68
Express 6 sin x cos x in form a sin bx. Solve 6 sin x cos x = 3/2. [pi/4, pi/2]
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69
F(x) = sin(x + pi/4) + k passes through the point (pi/4, 6) find k. Find max value of f(x). Math SL
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70
Sine 100 degrees = m. Find an expression for cos 100 degrees in terms of m. Math SL
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71
Find the number of complete teeth on a saw given trigonometric equation
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72
Given y= p sin(ax) + r and maximum and minimum point find p, q and r
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73
Y = a cos (b(x-c)). Find a, b, c given maximum, minimum Find the x coordinate of R
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74
Given Ferris Wheel find the height of seat above ground after 15 mins. Find the value of t given h
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75
Solve log (2 sin x) + log (cos x) = -1 over [2pi, 5pi/2]. Log base 2
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76
Solve f(x)=square root 3 e^(2x) sin x + e^(2x) cos x for [0, pi]. Solve f(x) =0
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77
Depth of water at port is modeled by cos function. Find p, q and t depth of water after high tide
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78
The height of seat is given by cos function. Find k minutes Calculate time needed for full rotation
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79
Solve the Trig equation tan(x/2 + pi/3) = 1 on the interval [0, 2pi)
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80
Solve the Trig equation tan(x/2) = sqrt(3) on the interval [0, 2pi)
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81
Solve the Trig equation cos(x/3 - pi/4) = 1/2 on the interval [0, 2pi)
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82
Solve the Trig equation sin(3x + pi/18) = 1 on the interval [0, 2pi)
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83
Solve the Trig equation cos(2x - pi/2) = -1 on the interval [0, 2pi)
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84
Solve the Trig equation 4 sin x + 3 sqrt(3) = sqrt(3) on the interval [0, 2pi)
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85
Solve the Trig equation 3 sqrt(2) cos x +2 = -1 on the interval [0, 2pi)
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86
Solve the Trig equation 5 csc x -3 = 2 on the interval [0, 2pi)
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87
Solve the Trig equation 4 sec x + 6 = -2 on the interval [0, 2pi)
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88
Solve the Trig equation sqrt(3) cot x +1 = 0 on the interval [0, 2pi)
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89
Solve the Trig equation tan x + 1 = 0 on the interval [0, 2pi)
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90
Solve the Trig equation cos x + 1 = 0 on the interval [0, 2pi)
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91
Solve the Trig equation 2 sin x +1 = 0 on the interval [0, 2pi)
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92
Solve the Trig equation cot(2x/3) = - sqrt(3) on the interval [0, 2pi)
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93
Solve the Trig equation sec(3x/2) = -2 on the interval [0, 2pi)
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94
Solve the Trig equation tan(2x) = -1 on the interval [0, 2pi)
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95
Solve the Trig equation cos(2x) = -1/2 on the interval [0, 2pi)
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96
Solve the Trig equation sin(3x) = -1 on the interval [0, 2pi)
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97
Solve the Trig equation 4 cos^2 x -3 = 0 on the interval [0, 2pi)
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98
Solve the Trig equation 2 sin^2 x -1 = 0 on the interval [0, 2pi)
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99
Solve The Trig Equation tan^2 x = 1/3 on the interval [0, 2pi)
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100
Solve Trig Equation 4 cos^2 x = 1 on the interval [0, 2pi)
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101
Solve Trig Equation 1 - cos x = 1/2 on the interval [0, 2pi)
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102
Solve Trig Equation 2 sin x + 3 = 2 on the interval [0, 2pi)
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103
Solve the Trig equation 4(1+ sin x) = cos^2 x on the interval [0, 2pi)
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104
Solve the Trig equation 2 cos^2 x - 7 cos x -4 = 0 on the interval [0, 2pi)
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105
Solve the Trig equation 3(1- cos x) = sin^2 x on the interval [0, 2pi)
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106
Solve the Trig equation 2 sin^2 x -5 sin x + 3 = 0 on the interval [0, 2pi)
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107
Solve the Trig equation 3 cos x + 3 = 2 sin^2 x on the interval [0, 2pi)
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108
Solve the Trig equation sin^2 x = 2 cos x + 2 on the interval [0, 2pi)
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109
Solve the Trig equation 1 + sin x = 2 cos^2 x on the interval [0, 2 pi)
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110
Solve the Trig equation cos^2 x + sin x = 2 on the interval [0, 2pi)
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111
Solve the Trig equation cos(2x) + 3 = 5 cos x on the interval [0, 2 pi)
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112
Solve the Trig equation 2 sin^2 x - 3 sin x + 1 = 0 on the interval [0, 2pi)
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113
Solve the Trig equation sin(2x)sin x= cos x on the interval [0, 2pi)
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114
Solve the Trig equation cos(2x) = cos x on the interval [0, 2pi)
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115
Solve the Trig equation sin(2x) = cos x on the interval [0, 2pi)
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116
Solve the Trig equation tan x = 2 sin x on the interval [0, 2pi)
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117
Solve the Trig equation tan x = cot x on the interval [0, 2pi)
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118
Solve the Trig equation sin x = csc x on the interval [0, 2pi)
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119
Solve the Trig equation cos x + sin x = 0 on the interval [0, 2pi)
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120
Solve the Trig equation cos x = sin x on the interval [0, 2pi)
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121
Solve the Trig equation cos(2x) = 2 - 2sin^2 x on the interval [0, 2pi)
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122
Solve the Trig equation cos(2x) + 6 sin^2 x = 4 on the interval [0, 2pi)
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123
Solve the Trig equation 2 sin^2 x = 3(1 - cos x) on the interval [0, 2pi)
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124
Solve the Trig equation sin^2 x = 6(cos x + 1) on the interval [0, 2pi)
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125
Solve the Trig equation cos^2 x - sin^2 x + sin x = 0 on the interval [0, 2pi)
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126
Solve the Trig equation sin^2 x - cos^2 = 1 + cos x on the interval [0, 2 pi)
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127
Solve the Trig equation (cot x +1)(csc x -1/2) = 0 on the interval [0, 2pi)
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128
Solve the Trig equation (tan x - 1)(sec x -1) = 0 on the interval [0, 2pi)
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129
Solve the Trig equation 2 cos^2 x + cos x -1 = 0 on the interval [0, 2pi)
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130
Solve the Trig equation sin^2 x -1 = 0 on the interval [0, 2pi)
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131
Solve the Trig equation 2 cos^2 x + cos = 0 on the interval [0, 2pi)
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132
Solve the Trig equation sin x = sqrt(2)/2. Give a general formula. List six solutions
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133
Solve the Trig equation cos x = 0. Give a general formula for all solutions. List six solutions
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134
Solve the Trig equation cos x = - sqrt(3)/2. Give a general formula. List six solutions
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135
Solve the Trig equation tan x = - sqrt(3)/3. Give a general formula . List six solutions
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136
Solve the Trig equation tan x and give a general formula for all solutions. List six solutions
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137
Solve the Trig equation sin x = 1/2. Give a general formula and list six solutions
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138
Solve the Trig equation tan(2x) + 2 cos x =0 on the interval [0, 2pi)
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139
Solve the Trig equation tan(2x) + 2 sin x =0 on the interval [0, 2pi)
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140
Solve the Trig equation sec x = tan x + cot x on the interval [0, 2pi)
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141
Solve the Trig equation sec^2 x + tan x = 0 on the interval [0, 2pi)
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142
Solve the Trig equation cos(2x) + 5 cos x +5 = 0 on the interval [0, 2pi)
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143
Solve the Trig equation sin(4x) - sin(6x) =0 on the interval [0, 2pi)
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144
Solve the Trig equation cos(4x) - cos(6x) = 0 on the interval [0, 2pi)
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145
Solve the Trig equation cos(2x) + cos(4x) = 0 on the interval [0, 2pi)
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146
Solve the Trig equation sin(2x) + sin(4x) = 0 on the interval [0, 2pi)
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147
Solve the Trig equation cos(2x) = -1/2. Give a general formula and list six solutions
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148
Solve the Trig equation sin(2x) = -1. Give a general formula and list six solutions
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149
Solve the Trig equation sin(x/2) = -sqrt(3)/2. Give a general formula and list six solutions
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150
Solve the Trig equation tan(x/2) = -1. Give a general formula and list six solutions
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151
Solve the Trig equation sin x + cos x = 1 over the interval [0, 2pi)
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152
Solve the Trig equation sin x + cos x = -sqrt(2) on the interval [0, 2pi)
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153
Solve the Trig equation sin x - sqrt(3) cos x = 1 on the interval [0, 2pi)
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154
Solve the Trig equation sin x - sqrt(3) cos x = 1 on the interval [0, 2pi)
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155
Solve the Trig equation sqrt(3) sin x + cos x = 1 on the interval [0, 2pi)
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156
Solve the Trig equation sin x + cos x = sqrt(2) on the interval [0, 2pi)
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157
Solve for all values of x for sin x greater than cos x over [0, 360]. Graph method
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158
Solve for all values of x when 1 - cos x = sqrt(3) sin x over [0, 360].
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159
Solve for all values of x when cot x = 2 cos x over [0, 360).
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160
Solve for all values of x when tan x + 3/tan x= 2sqrt(3) over [0, 360].
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161
Solve for all values of x when cos( pi cos x) =0 over [0, 360].
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162
Solve for all values of x when tan x - sqrt(3) cot x +1 - sqrt(3) = 0 over [0, 360].
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163
Solve for all values of x when 3 sin^2 + 2 cos x +2 =0 over [0, 360].
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164
Solve for all values of x when 3tan x - sqrt(3) = 0 over [0, 360].
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165
Solve for all values of x when | 2 cos x -1 | =1 over [0, 360]. Absolute value
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166
Solve for all values of x when 2 sin x +1 =0 over [0, 360]
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167
Find the values of sin 2x, tan 2x, sin 3x - cos 3x. Double Angle Formula
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168
Find the values of tan x/2, sin x/2, cos x/2 when tan x = 4/3, and angle in quadrant 3. Half Angle
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169
Find value of expression (sin 55 sin 35)/(cos 80 + cos 40). Sum to Product, Product to Sum.
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170
Find the value of expression sin 80 - sin 40 - sin 20. Sum to Product Formula. Trigonometry
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171
Find the value of expression cos 20 cos 40 cos 80. Product to Sum Formula. Trigonometry
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172
Find minimum and maximum values for y = sin x/(sin x +2) over interval [0, 2pi)
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173
Solve for all values of x over [0, 360] for sin x less than cos x.
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174
Solve for all values of x over [0, 360] for 2sin^2 x -3 cos x greater than or equal to 0
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175
Find range of constant theta when x^2 +2x + 2 cos theta has two negative roots over (0, 360)
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176
Find the range of a when equation sin^2 x + 2a cos x = a^2 has two solutions.
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177
Find the range of real number x when sqrt(sin x/cos x) = - sqrt(sin x)/ sqrt(cos x)
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178
Find range of theta when x^2 + 4 sin theta x + 6 cos theta = 0 has two different solutions
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179
Solve equation sin(x + pi/3) + sin(x - pi/3) = -1 over interval [0, 2pi).
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180
Solve equation 2 cos x + sin 2x =0 over [0, 2pi). Double Angle Formula
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181
Solve equation 2 - sin^2 x = 2 sin^2 x/2 over interval [0, 2pi). Half Angle Formula
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182
Solve equation tan x + tan 2x =0 over interval [0, 2pi).
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183
When acute angle theta forms from lines y = 2x and y = 1/2 x, find the value of cos theta.
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184
Find the value of (tan 25 + tan 20)/(1 - tan 25 tan 20). Sum and Difference Formula
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185
Find value of 8 sin 11pi/12 + 4 sin 23pi/12 + sqrt(2) tan 19pi/12. Reference angles. Sum, Difference
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186
Find the value of a + b when tan a = 1/2, tan b = 1/3, Sum and Difference Formula
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187
Find value of a + b when sin a = 13/14, sin b = 11/14, Sum and Difference Formula
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188
Find value of cos (a + b) when cos a = -15/17, quadrant 3, sin b = -4/3, quadrant 4. Sum Formula
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189
Find values of sin 2x, cos 2x, tan 2x when cos x = 2/(sqrt(5)) in quadrant 4. Double Angle Formula
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190
Simplify the expression cos (x - 3pi/2). Sum and Difference Formula. Trigonometry
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191
Simplify the expression cos( pi/2 - x). Sum and Difference Formula. Trigonometry
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192
Simplify the expression cos 2x/(sin x + cos x). Double Angle Formula. Trigonometry
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193
Solve equation sin(3x - pi/4) + cos(x +pi/3) =0 and state general solution.
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194
Solve equation tan(2x - pi/6) = tan pi/5. State general solution.
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195
Solve equation sqrt(3) sin x + cos x =1. Give general solution.
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196
Solve equation cos 3x + cos x = cos 2x. State general solution.
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197
Solve equation tan 2x = 3 tan x. State general solution
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198
Solve equation cos 2x + 3 sin x +1 =0. State general solution
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199
Express 3 sin x + 4 cos x as r sin (theta + alpha), and r cos(theta - beta). r is positive
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200
Solve for all x, when sin x less than cos x, and 2 sin^2 x - 3 cos x greater than 0. [0, 360].
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