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Iffx=sinx,gx=cosxandhx=2x,Px=x2.Find the value ofg·p60°.

Short Answer

Expert verified

The value of function g·p60°is34.

Step by step solution

01

Step 1. Given information.

Given fx=sinx,gx=cosxand the value of xis60°.

02

Step 2. Simplify the given expression.

g·p60°can be written as g60°and p60°.

Substitute cos60°for g60°and sin60°forf60°.

g·p60°=cos60°·sin60°

03

Step 3. Find the value of g·p 60°.

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

Substitute the values of angles in simplified expression.

g·p60°=cos60°·sin60°=12·32=34

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