COMPOUND ANGLE FORMULA TO EVALUATE THE TRIGONOMETRIC FUNCTIONS WORKSHEET

Simplify each of the following expressions.

Problem 1 :

sin (π - x)

Problem 2 :

Problem 3 :

Problem 4 :

sin (π + x)

Problem 5 :

sin (60^º - θ) + sin (60^º + θ)

Problem 6 :

cos (60^º - θ) + cos (60^º + θ)

Problem 7 :

Problem 8 :

Problem 9 :

sin (θ - 180^º) + sin (θ + 180^º)

Problem 10 :

cos (90^º + θ) + cos (90^º - θ)

Answer Key

1) sin (π - x) = sin x

2) cos (x + 3𝜋/2) = sin x

3) cos (x - 𝜋/2) = sin x

4) sin (π + x) = -sin x

5) sin (60º - θ) + sin (60º + θ) = √3 cos θ

6) cos (60º - θ) + cos (60º + θ) = cos θ

7) cos (x - 𝜋/4) + cos (x + 𝜋/4) = 2 cos x

8) sin (x + 𝜋/6) + sin (x - 𝜋/6) = 3 sin x

9) sin (θ - 180º) + sin (θ + 180º) = -2 sin θ

10) cos (90º + θ) + cos (90º - θ) = 0