### Home > CALC > Chapter 4 > Lesson 4.5.1 > Problem 4-164

4-164.

Rewrite the following using a single trigonometric function. You may wish to review your trigonometric identities in Chapter 1. Homework Help ✎

10 sin(3

*x*) cos(3*x*)sin

*x*cos 3*x*− sin 3*x*cos*x*cos

^{4}*x*− sin^{4}*x*tan

*x*+ cot*x*

Double Angle identity (factor first).

Factor first.

Sum and Difference (Angle Sum) identity.

Start by rewriting tan(*x*) and cot(*x*) as fractions.

You will use more than one identity.