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Chapter 7: Q. 13 (page 500)


express each product as a sum containing only sines or only cosines

sin蠎sin2蠎

Short Answer

Expert verified

12[cos蠎-cos3蠎]

Step by step solution

01

Step 1. Given expression 

sin蠎sin2蠎

02

Step 2. expressing them in terms of single sine or cosine

Using identity :

cosx-cosy=-2sin(x+y2)sin(x-y2)

We get :

sin蠎sin2蠎=12[cos(2蠎-蠎)-cos(2蠎+蠎)]sin蠎sin2蠎=12[cos蠎-cos3蠎]

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