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If fx=sinx,gx=cosxand hx=2x,Px=x2.Find the value of functionf-g60°.

Short Answer

Expert verified

The value of the function f-g60°is3-12.

Step by step solution

01

Step 1. Given information.

Givenfx=sinxandgx=cosxand the value ofxis30°.

02

Step 2. Simplify the given expression.

f+g60°can be written as f60°and g60°.

Substitute sin60°for f60°and cos60°for g60°then,

f-g60°=sin60°-cos60°

03

Step 3.  Find the value of f-g 60°.

In trigonometric standard angle the value of sin60°=32and the value of cos60°=12.

Substitute the value of angles into simplified expression.

f-g60°=sin60°-cos60°=32-12=3-12

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