Sum and Product Identities

Practice Questions

Trigonometry › Sum and Product Identities

Questions

6

1

Find $sin (75 ^{\circ})$ without using a calculator.

2

Simplify the following expression using trigonometric identities:

$\sin^{3}A\cos B + \sin^{2}A\cos A\sin B + \sin A\cos B\cos^{2}A + \cos^{3}A\sin B$

3

Without the aide of a calculator, compute the exact value of $\sin\left(\frac{\pi}{12} \right )$

4

Without the aide of a calculator, compute the exact value of $\sin\left(\frac{7\pi}{12} \right )$

5

Without the aide of a calculator, compute the exact value of $\cos\left(-\frac{5\pi}{12} \right )$

6

What is the phase shift of $f(x) = sin(x)cos(\frac{\pi}{2}) - cos(x)sin(\frac{\pi}{2})$ ?

Return to subject