Sum and Difference Identities

Practice Questions

Pre-Calculus › Sum and Difference Identities

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1

Find the value of .

2

Find the value of .

3

Find $\sin\bigg(\frac{\pi }{3} + \frac{\pi }{6}\bigg)$ using the sum identity.

4

Evaluate

$\sin \left(\frac{5 \pi}{12}\right)$ .

5

Evaluate

$\sin \left(\frac{5 \pi}{12}\right)$ .

6

Find $\sin\bigg(\frac{\pi }{3} + \frac{\pi }{6}\bigg)$ using the sum identity.

7

In the problem below, $\sin \alpha = \frac {1}{5}, 0 < \alpha < \frac {\pi}{2}$ and $\cos \beta = \frac {1}{4}, 0 < \beta< \frac {\pi}{2}$ .

Find

$\sin (\alpha + \beta)$ .

8

In the problem below, $\sin \alpha = \frac {1}{5}, 0 < \alpha < \frac {\pi}{2}$ and $\cos \beta = \frac {1}{4}, 0 < \beta< \frac {\pi}{2}$ .

Find

$\sin (\alpha + \beta)$ .

9

According to the trigonometric identities,

10

According to the trigonometric identities,

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