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Chapter 7: Q. 20 (page 500)

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

cos5蠎-cos3蠎

Short Answer

Expert verified

-2sin4蠎sin蠎

Step by step solution

01

Step 1. Given Information

given a trignometric expressioncos5蠎-cos3蠎

02

Step 2. Solving using identity

We know that :

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

Using this :

cos5蠎-cos3蠎=-2[sin(5蠎+3蠎2)sin(5蠎-3蠎2)]cos5蠎-cos3蠎=-2[sin(4蠎)sin(蠎)]

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Most popular questions from this chapter

sin2胃2=______2.

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

cos3蠎cos4蠎

Establish each identity.

1+sin胃1-sin胃-1-sin胃1+sin胃=4tan胃sec胃

Multiply:cos(胃)1-sin(胃)1+sin(胃)1+sin(胃)

In Problems 9鈥�36, find the exact value of each expression.

tancos-1-32
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