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.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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•
Transcribed Image Text: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
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.

\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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