Chapter 6: Q 102. (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 $g (2 θ)$ .

Short Answer

Expert verified

The value of the function $g (2 θ)$ is $\frac{- 1}{2}$ .

Step by step solution

Step 1. Given information .

Consider the given information $g (2 θ)$ where $g (θ) = \cos θ$ and the value of $θ = 60 °$ .

Step 2. Finding g2θ.

In the trigonometric standard angle the value of $\cos 120 ° = \frac{- 1}{2}$ .

Substitute the value in function $g (2 θ)$ .

$g (2 θ) = g (2 \times 60 °) = g (120 °)$

Further simplify.

$g (120 °) = \cos 120 ° = \cos (90 ° + 30 °) = - \cos 30 ° = - \frac{1}{2}$

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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 $g (2 θ)$ .

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Finding g2θ.

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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

Step by step solution

Step 1. Given information .

Step 2. Finding g2θ.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Theoretical and Mathematical Physics

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Logic and Functions

Study anywhere. Anytime. Across all devices.

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 $g (2 θ)$ .