Complete a Proof Using Sums, Differences, or Products of Sines and Cosines

Practice Questions

Trigonometry › Complete a Proof Using Sums, Differences, or Products of Sines and Cosines

Questions

10

1

Simplify by applying the compound angle formula:

2

Which of the following correctly demonstrates the compound angle formula?

3

True or false:

$\sin x + \sin y = \sin (x + y)$ .

4

Which of the following correctly demonstrates the compound angle formula?

5

Using $\sin(90 - x) = \cos x$ and the formula for the sum of two sines, rewrite the sum of cosine and sine:

$\cos x + \sin x$

6

True or false: $\cos x - \cos y = \cos (x - y)$ .

7

Simplify by applying the compound angle formula:

8

True or false: $\sin x - \sin y = \sin (x - y)$ .

9

Using $\sin(90 - x) = \cos x$ and the formula for the difference of two sines, rewrite the difference of cosine and sine:

$\cos x - \sin x$

10

True or false: $\cos x + \cos y = \cos (x + y)$ .

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