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SOLUTIONS : 13. a. tan 45° = 1 b. sin 30° + cos 60° = 0.5 + 0.5 = 1 14. a. tan 60° = √3 b. sin 45° - cos 45° = √2 / 2 - √2 / 2 = 0 15. 2sinθ = -1 sinθ = -0.5 θ = 180° + 30° or 360 - 30° = 210° or 330° 16. 2sinθ - √3 = 0 sinθ = √3 / 2 θ = 60° or 120° 17. sinθ = 2cosθ tanθ = 2 θ = 63.4349° or 63.4349° + 180° = 63.4° or 243.4° ( 3 sig. fig. ) 18. 2sinθ = cosθ tanθ = 0.5 θ = 26.5651° or 180° + 26.5651° = 26.6° or 206.6° ( 3 sig. fig. ) 19. sin x = -sin 36° sin x = sin( 180° + 36° ) x = 180° + 36° or 360° - 36° = 216° or 324° 20. cosθ = cos 36° θ = 36° or 360° - 36° = 36° or 324°

 

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