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Chapter 4: Problem 28

Convert each angle in radians to degrees. $$-4 \pi$$

Short Answer

Expert verified
The angle \( -4 \pi \) radians is equivalent to -720 degrees.

Step by step solution

01

Identify the given value

The given angle is \( -4 \pi \) radians.
02

Use the radian to degree conversion

To convert radians to degrees, use the conversion factor \( \frac{180}{\pi} \). Multiply the given angle by this factor: \( -4 \pi \cdot \frac{180}{\pi} \).
03

Simplify the expression

\( \pi \) in the numerator and the denominator cancel out. Thus, the angle becomes \( -4 \cdot 180 \).
04

Calculate the final result

Multiply 4 by 180 to get the final result in degrees. The result will be negative, as the angle was given as negative.

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Most popular questions from this chapter

Graph one period of each function. $$y=-\left|2 \sin \frac{\pi x}{2}\right|$$

Determine the range of the following functions. Then give a viewing rectangle, or window, that shows two periods of the function's graph. a. \(f(x)=\sec \left(3 x+\frac{\pi}{2}\right)\) b. \(g(x)=3 \sec \pi\left(x+\frac{1}{2}\right)\)

Find all zeros of \(f(x)=2 x^{3}-5 x^{2}+x+2\) (Section \(2.5, \text { Example } 3)\)

will help you prepare for the material covered in the next section. a. Graph \(y=-3 \cos \frac{x}{2}\) for \(-\pi \leq x \leq 5 \pi\) b. Consider the reciprocal function of \(y=-3 \cos \frac{x}{2}\) namely, \(y=-3 \sec \frac{x}{2} .\) What does your graph from part (a) indicate about this reciprocal function for \(x=-\pi, \pi, 3 \pi,\) and \(5 \pi ?\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. When graphing one complete cycle of \(y=A \cos (B x-C)\) I find it easiest to begin my graph on the \(x\) -axis.
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