Sum, Difference, and Product Identities

Practice Questions

Trigonometry › Sum, Difference, and Product Identities

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1

Simplify by applying the compound angle formula:

2

Solve for the following using the correct identity:

3

Solve for the following using the correct identity:

4

Simplify by applying the compound angle formula:

5

Which of the following correctly demonstrates the compound angle formula?

6

Which of the following correctly demonstrates the compound angle formula?

7

Which of the following completes the identity $cos(\alpha + \beta) =$

8

Solve for the following given that $x = 2\pi$ . Use the formula for the sum of two sines.

$sin(\frac{\pi}{3} +x) + sin(\frac{\pi}{3} - x)$

9

Which of the following is the correct to complete the following identity: $sin(\alpha - \beta) =$ ___?

10

Solve for the following using the formula for the differences of two cosines. Do not simplify.

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