Chapter 6: Q 100. (page 381)

If $f (θ) = \sin θ$ and $g (θ) = \cos θ$ . Find the exact value of the function given below if $θ = 60 °$ . Do not use a calculator.
Function is ${[g (θ)]}^{2}$ .

Short Answer

Expert verified

The value of the function ${[g (θ)]}^{2}$ is $\frac{1}{4}$ .

Step by step solution

Step 1. Given information.

Consider the given function ${[g (θ)]}^{2}$ where localid="1646396871570" $g (θ) = \cos θ$ and the value of $θ = 60 °$ .

Step 2. Finding gθ2.

In the trigonometric standard angle the value of $\cos 60 ° = \frac{1}{2}$ .

Substitute the value in function ${[g (θ)]}^{2}$ .

${[g (θ)]}^{2} = {[\cos 60 °]}^{2} = {[\frac{1}{2}]}^{2} = \frac{1}{4}$

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If $f (θ) = \sin θ$ and $g (θ) = \cos θ$ . Find the exact value of the function given below if $θ = 60 °$ . Do not use a calculator.
Function is ${[g (θ)]}^{2}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding gθ2.

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If fθ=sinθand gθ=cosθ. Find the exact value of the function given below if θ=60°. Do not use a calculator.Function isgθ2.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding gθ2.

One App. One Place for Learning.

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If $f (θ) = \sin θ$ and $g (θ) = \cos θ$ . Find the exact value of the function given below if $θ = 60 °$ . Do not use a calculator.
Function is ${[g (θ)]}^{2}$ .