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Trigonometry Ratios for Common Angles:
Angle 0°
sin(0°) = 0
cos(0°) = 1
tan(0°) = 0
cot(0°) = undefined
sec(0°) = 1
csc(0°) = undefined
Angle 30°
sin(30°) = 1/2
cos(30°) = √3/2
tan(30°) = 1/√3
cot(30°) = √3
sec(30°) = 2/√3
csc(30°) = 2
Angle 45°
sin(45°) = √2/2
cos(45°) = √2/2
tan(45°) = 1
cot(45°) = 1
sec(45°) = √2
csc(45°) = √2
Angle 60°
sin(60°) = √3/2
cos(60°) = 1/2
tan(60°) = √3
cot(60°) = 1/√3
sec(60°) = 2
csc(60°) = 2/√3
Angle 90°
sin(90°) = 1
cos(90°) = 0
tan(90°) = undefined
cot(90°) = 0
sec(90°) = undefined
csc(90°) = 1
Mnemonics to remember:
1. "SOH-CAH-TOA" (Sine = Opposite over Hypotenuse, Cosine = Adjacent over Hypotenuse, Tangent = Opposite over Adjacent)
2. Create a diagram or table to visualize the ratios
Key Applications:
1. Triangular calculations
2. Wave analysis
3. Navigation
4. Physics and engineering
5. Computer graphics
Do you have any specific questions or need further clarification on these concepts?
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RYD date created : 2025-02-04T04:43:22.4322616Z
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