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Chapter 7: Q. 19 (page 505)

use sum, difference, product, or half-angle formulas to find the exact value of each expression

sin(12cos-135)

Short Answer

Expert verified

sin(12cos-135)=15

Step by step solution

01

Step 1.Given expression

sin(12cos-135)

02

Step 2. Solving 

let

12cos-135=胃

So , we need to calculate for

sin胃=?

12cos-135=胃cos-135=2胃-1猢�2胃猢�1

03

Step 3. Solving for sinθ

cos-135=2胃cos2胃=35

We know :

role="math" localid="1646555157092" 1-2sin2x=cos2x

Using this :

cos2胃=351-2sin2胃=351-35=2sin2胃25=2sin2胃sin胃=15

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