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Chapter 7: Q. 21 (page 500)

express each sum or difference as a product of sines and/or cosines

sin蠎+sin3蠎

Short Answer

Expert verified

2cos蠎sin2蠎

Step by step solution

01

Step 1. Given Information

sin蠎+sin3蠎

02

Step 2. Solving using identity

We know that :

sinx+siny=2[sinx+y2cosx-y2]

Using it :

sin蠎+sin3蠎=2[cos3蠎-蠎2sin3蠎+蠎2]sin蠎+sin3蠎=2[cos蠎sin2蠎]

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