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Chapter 6: Q. 43 (page 365)

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .
$- 135 °$

Short Answer

Expert verified

The required answer is $\frac{- 3 π}{4} r a d i a n s$ .

Step by step solution

01

Step 1. Given Information

Given angle: $- 135 °$

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, $- 135 °$

$- 135 ° = - 135 \cdot 1 °$

$= - 135 \cdot \frac{π}{180} r a d i a n$

$= \frac{- 3 π}{4} r a d i a n s$

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Most popular questions from this chapter

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

$- 90 °$

Find the exact value of each expression. Do not use a calculator.

$3 \csc \frac{π}{3} + \cot \frac{π}{4}$

find the value of the remaining five trigonometric functions of $ϑ$

$\sin ϑ = \frac{5}{7}$ , $ϑ$ in Second Quadrant.

Use the graph of the function to determine the domain and the range of function

$y = s e c (\frac{2 π}{3} x) + 2$

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$210 °$

See all solutions

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