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Chapter 6: Q. 45 (page 365)

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .
$- 90 °$

Short Answer

Expert verified

The required measure of angle is $\frac{- π}{2} r a d i a n s$ .

Step by step solution

01

Step 1. Given Information

Given angle: $- 90 °$

02

Step 2. Formula Used

We need to use the following conversion formula,

$1 d e g r e e = \frac{π}{180} r a d i a n$

03

Step 3. Calculation

We have, $- 90 °$

$- 90 ° = - 90 \cdot 1 °$

$= - 90 \cdot \frac{π}{180} r a d i a n$

$= \frac{- π}{2} r a d i a n s$

$- 90 ° = - 90 \cdot 1 °$

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Most popular questions from this chapter

In Example 6, we found that the distance between Albuquerque, New Mexico, and Glasgow, Montana, is approximately 903 miles. According to mapquest.com, the distance is approximately 1300 miles. What might account for the difference?

Use a calculator to find the approximate value of each expression rounded to two decimal places: $\cot (\frac{π}{12})$

Write the equation of a sine function that has the given characteristics.

Amplitude: $2$

Period: role="math" localid="1646330159175" $4 π$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$- 180 °$

In problems 13-20, $P (x, y)$ is the point on the unit circle that corresponds to a real number $t$ . Find the exact values of the six trigonometric functions of $t$ .

$(\frac{2 \sqrt{2}}{3}, - \frac{1}{3})$ .

See all solutions

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