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Chapter 6: Q 95. (page 381)

If $f (θ) = \sin θ$ and $g (θ) = \cos θ$ . Find the exact value of the function given below if $θ = 60 °$ .
Function $f (θ)$

Short Answer

Expert verified

The value of $f (θ) = \frac{\sqrt{3}}{2}$ .

Step by step solution

Step 1. Given information.

Consider the given information that $f (θ) = \sin θ$ and the value of $θ = 60 °$ .

. Finding fθ.

In trigonometric standard angles the value of $\sin 60 ° = \frac{\sqrt{3}}{2}$ .

Substitute the value in $f (θ)$ .

$f (θ) = \sin θ f (θ) = \sin 60 ° f (θ) = \frac{\sqrt{3}}{2}$

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If fθ=sinθand gθ=cosθ. Find the exact value of the function given below if θ=60°. Functionfθ

Short Answer

Step by step solution

Step 1. Given information.

. Finding fθ.

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If $f (θ) = \sin θ$ and $g (θ) = \cos θ$ . Find the exact value of the function given below if $θ = 60 °$ .
Function $f (θ)$