sin(160°) = sin(180° - 20°) = sin(20°) ≈ 0.3420, using the supplementary angle identity.
Method 1: Supplementary Angle Identity
- sin(160°) = sin(180° - 160°) = sin(20°)
- sin(20°) ≈ 0.3420
Method 2: Reference Angle
- 160° is in the second quadrant (90° to 180°)
- Reference angle = 180° - 160° = 20°
- Sine is positive in the second quadrant
- Therefore, sin(160°) = sin(20°) ≈ 0.3420
Method 3: Calculator
- Ensure calculator is in degree mode
- Enter sin(160) directly
Importants Points:
- Value: sin(160°) ≈ 0.3420
- Method: Use supplementary angle identity
- Identity: sin(180° - θ) = sin(θ)