1. Find the quadrant in which 0 lies: (a) csc 0 <0 and tan 0> 0 (b) sec 0 > 0 and sin 0 < 0

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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Please answer both questions.
1. Find the quadrant in which 0 lies:
(a) csc e <0 and tan 0 > 0
(b) sec 0 > 0 and sin 0 < 0
2. The angle 0 is in the third quadrant and cos 6 -2/15. Find the exact value of the
remaining five trigonometric functions.
Transcribed Image Text:1. Find the quadrant in which 0 lies: (a) csc e <0 and tan 0 > 0 (b) sec 0 > 0 and sin 0 < 0 2. The angle 0 is in the third quadrant and cos 6 -2/15. Find the exact value of the remaining five trigonometric functions.
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“Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved, then please specify the question number or post only that question.”

1 (a):

We know that tan θ>0 in the first and third quadrants. 

Now sin θ<0  in third and fourth quadrants implies csc θ<0  in third and fourth quadrants.

So tan θ>0 and csc θ<0  only in the third quadrant.

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