Chapter 6: Q. 14 (page 435)

Find the exact value of each expression. Do not use a calculator.
$\frac{\sin (- 40^{°})}{\sin 40^{°}}$ .

Short Answer

Expert verified

The exact value of the expression $\frac{\sin (- 40^{°})}{\sin 40^{°}}$ is, $- 1$ .

Step by step solution

Step 1 Given expression is,

$\frac{\sin (- 40^{°})}{\sin 40^{°}}$ .

The objective is, we need to find the exact value for the given expression without using the calculator.

Step 2 We know that,

$\sin (- θ) = \sin θ \sin (- 40^{°}) = \sin 40^{°}$

So, the given expression becomes,

$\frac{\sin (- 40^{°})}{\sin 40^{°}} = \frac{- \sin 40^{°}}{\sin 40^{°}} = - 1$

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Find the exact value of each expression. Do not use a calculator.
$\frac{\sin (- 40^{°})}{\sin 40^{°}}$ .

Short Answer

Step by step solution

Step 1 Given expression is,

Step 2 We know that,

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Find the exact value of each expression. Do not use a calculator.sin-40°sin40°.

Short Answer

Step by step solution

Step 1 Given expression is,

Step 2 We know that,

One App. One Place for Learning.

Most popular questions from this chapter

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Find the exact value of each expression. Do not use a calculator.
$\frac{\sin (- 40^{°})}{\sin 40^{°}}$ .