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Chapter 1: Problem 67

Convert the angle measure from radians to degrees. Round to three decimal places. $$-4.2 \pi$$

Short Answer

Expert verified
-756

Step by step solution

01

Conversion from radians to degrees

Use the conversion factor \( \frac{180}{\pi} \) to convert the angle from radians to degrees. Therefore, the conversion will be -4.2蟺 * \( \frac{180}{\pi} \). Upon multiplying, the 蟺 in the radian measure cancels out with 蟺 in the conversion factor, as they are inversely proportional in this context.
02

Calculation

Perform the multiplication to get the degree measurement. -4.2 * 180 = -756. This is the conversion of the radian measurement into degrees.
03

Round off

The instruction is to round the result to 3 decimal places, however, as our answer is -756 (already a whole number), there are no decimals to round, thus it remains -756.

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Most popular questions from this chapter

In Exercises 109-112, sketch a right triangle corresponding to the trigonometric function of the acute angle \(\theta\). Use the Pythagorean Theorem to determine the third side. Then find the other five trigonometric functions of \(\boldsymbol{\theta}\). $$ \tan \theta=2 $$

Find the exact value of the expression. $$ \cos \left(\arctan \frac{3}{4}\right) $$

$$ \text { In Exercises 49-58, find the exact value of the expression. } $$ $$ \sec \left(\arcsin \frac{4}{5}\right) $$

In Exercises 59-68, write an algebraic expression that is equivalent to the expression. (Hint: Sketch a right triangle, as demonstrated in Example 7.) $$ \sec (\arctan 3 x) $$

$$ \text { In Exercises 49-58, find the exact value of the expression. } $$ $$ \cos \left(\tan ^{-1} 2\right) $$
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