Chapter 6: Q 103. (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 calculator.
Function is $2 f (θ)$ .

Short Answer

Expert verified

The value of the function $2 f (θ)$ is $\sqrt{3}$ .

Step by step solution

Step 1. Given information.

Consider the given information $2 f (θ)$ where localid="1646460401007" $f (θ) = \sin θ$ and the value of $θ = 60 °$ .

Step 2. Finding 2fθ.

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

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

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

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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 calculator.
Function is $2 f (θ)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding 2fθ.

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If fθ=sinθand gθ=cosθ. Find the exact value of the function given below if θ=60°.Do not use calculator.Function is2fθ.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding 2fθ.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Discrete Mathematics

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Theoretical and Mathematical Physics

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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 calculator.
Function is $2 f (θ)$ .