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Chapter 6: Q 113. (page 382)

Iffx=sinx,gx=cosxandhx=2x,Px=x2.Find the value of the functionp路g315掳.

Short Answer

Expert verified

The value of the functionp路g315掳is-12.

Step by step solution

01

Step 1. Given information.

Given fx=sinx,gx=cosxand hx=2x,Px=x2and the value ofxis315掳.

02

Step 2. Simplify the given expression.

p路g315掳can be written as p315掳and g315掳.

Substitute sin315掳for p315掳and cos315掳for g315掳.

p路g315掳=sin315掳路cos315掳

03

Step 3. Find the value of p·g 315°.

In trigonometric standard angle the value of sin315掳is -12and the value of cos315掳is 12.

Substitute the value of angles in the simplified expression.

p路g315掳=sin315掳路cos315掳=-12路12=-12

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