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Chapter 7: Q. 7 (page 500)

Express the product sin(4胃)sin(2胃)as a sum containing only sines or only cosines.

Short Answer

Expert verified


sin(4胃)sin(2胃)=cos(2胃)-cos(6胃)2

Step by step solution

01

Step 1. Given expression

sin(4胃)sin(2胃)

02

Step 2. Rewriting the expression   

2sinAsinB=cos(A-B)-cos(A+B)So,sin(4胃)sin(2胃)=cos(2胃)-cos(6胃)2

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