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Chapter 6: Q. 1 (page 434)

convert each angle in degrees to radians. Express your answer as a multiple of $π$ .
$135^{\circ}$

Short Answer

Expert verified

Thus, $135^{\circ} = \frac{3 π}{4} r a d i a n .$

Step by step solution

01

Step 1. Given

Given angle to be converted

$135^{\circ}$

02

Step 2. Concept

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

03

Step 3. Calculation

We know

$1 d e g r e e = \frac{π}{180} r a d i a n t h u s 135^{\circ} = 135 (\frac{π}{180}) = \frac{3 π}{4}$

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Most popular questions from this chapter

Convert angle in radian to degree-

$\frac{5 π}{6}$

Use a calculator to find the approximate value of each expression rounded to two decimal places: $\csc \frac{5 π}{13}$

What is 1 radian? What is 1 degree?

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $θ$ . Find the missing quantity. Round answers to three decimal places.

$r = 6$ feet, $θ = 2$ radians, $s = ?$

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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