Chapter 6: Q 105. (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 $f (- θ)$ .

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

Consider the given function $f (- θ)$ where $f (θ) = \sin θ$ and the value of $θ = 60 °$ .

Step 2. Finding f-θ.

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

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

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

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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 $f (- θ)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding f-θ.

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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 isf-θ.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding f-θ.

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 $f (- θ)$ .