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If fθ=sinθandgθ=cosθ. Find the exact value of the function given below if θ=60°. Do not use a calculator.

Function isg2θ.

Short Answer

Expert verified

The value of the functiong2θis-12.

Step by step solution

01

Step 1. Given information .

Consider the given information g2θwhere gθ=cosθand the value ofθ=60°.

02

Step 2. Finding g2θ.

In the trigonometric standard angle the value of cos120°=-12.

Substitute the value in function g2θ.

g2θ=g2×60°=g120°

Further simplify.

g120°=cos120°=cos90°+30°=-cos30°=-12

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