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Chapter 7: Q. 17 (page 500)

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

sin4蠎-sin2蠎

Short Answer

Expert verified

2cos(3蠎)sin(蠎)

Step by step solution

01

Step 1. Given Information

sin4蠎-sin2蠎

02

Step 2. Solving using identity

We know that :

sinx-siny=2cos(x+y2)sin(x-y2)

Using it :

sin4蠎-sin2蠎=2cos(4蠎+2蠎2)sin(4蠎-2蠎2)sin4蠎-sin2蠎=2cos(3蠎)sin(蠎)

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