Use basic identities to simplify cos3x+sin2xcosx.   can you explain this equation and the answer

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section1.3: Definition I: Trigonometric Functions
Problem 22PS
Question

Use basic identities to simplify cos3x+sin2xcosx.

 

can you explain this equation and the answer

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