Sum and Difference of Sines and Cosines

Practice Questions

Trigonometry › Sum and Difference of Sines and Cosines

Questions

8

1

Solve for the following using the correct identity:

2

What is the correct formula for the sum of two sines: ?

3

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

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

4

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

5

Solve for the following using the correct identity:

$sin(\frac{\pi}{4} + \frac{\pi}{6})$

6

True or False: To solve for a problem in the form of $cos(\alpha - \beta)$ , I use the identity $cos(\alpha) - cos(\beta) = -2sin\frac{\alpha + \beta}{2}sin\frac{\alpha - \beta}{2}$ .

7

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

8

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

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