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Chapter 6: Q 96. (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 $g (θ)$ .

Short Answer

Expert verified

The value of $g (θ) = \frac{1}{2}$ .

Step by step solution

01

Step 1. Given information.

Consider the given function $g (θ) = \cos θ$ and the value of $θ = 60 °$ .

02

Step 2. Finding gθ.

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

Substitute the value in function $g (θ)$ .

$g (θ) = \cos 60 ° g (θ) = \frac{1}{2}$

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Most popular questions from this chapter

Use a calculator to find the approximate value of each expression rounded to two decimal places.

$\sin \frac{π}{8}$

In Problems $1 - 3$ , convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$2 . - 400 °$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$330 °$

Use a calculator to find the approximate value of each expression rounded to two decimal places.

$\cot 70 °$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$270 °$

See all solutions

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