Answered: Answer the following. (a) Find an angle…

Answer the following. (a) Find an angle between 0 and 2n that is coterminal with 3 (b) Find an angle between 0° and 360° that is coterminal with 495°. Give exact values for your answers.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.4: Multiple-angle Formulas

Problem 16E

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Question

Answer the following.
27n
(a) Find an angle between 0 and 2n that is coterminal with
3
(b) Find an angle between 0° and 360° that is coterminal with 495°.
Give exact values for your answers.
JT
(a) || radians
(b) I•

Expert Solution

Step 1

NOTE: Refresh your page if you can't see any equations.

$\theta =-\frac{2\pi }{3}$

the given angle is in radian and $2\pi <\theta <0$

so to find the coterminal angle we need to add $2 \pi$

$\theta =-\frac{2\pi }{3}+2\pi$

$\theta =2\pi -\frac{2\pi }{3}$

$\theta =\frac{6\pi -2\pi }{3}$

$\theta =\frac{4\pi }{3}$

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