Use a double-angle formula to rewrite the expression. 3 - 6 sin²x A)6 cos x B)3 sin 2x C)3 sin x D)3 cos 2x E)6 cos 2x

Question

Quizplus · Accepted Answer

Using the double-angle formula for sin:

sin 2x = 2sin x cos x

We can rewrite the original expression as:

3 - 6sin x (1 - cos x)

Simplifying further:

3 - 6sin x + 6sin x cos x

Now we can see that the expression matches the form of the double-angle formula, with sin x as the inside angle and cos x as the outside angle. Using the formula:

3 - 6sin x + 6sin x cos x = 3 - 6sin x + 3sin 2x

Therefore, the answer is D, 3cos 2x.

Use a Double-Angle Formula to Rewrite the Expression