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 < 02. The angle 0 is in the third quadrant and cos 6 -2/15. Find the exact value of theremaining five trigonometric functions.

Answered: 1. Find the quadrant in which 0 lies:…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Analytic Trigonometry

Section2.1: Using Fundamental Identities

Problem 1ECP: Use the conditions tanx=13 and cosx0 to find the values of all six trigonometric functions.

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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.

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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 $cs c θ < 0$ in third and fourth quadrants.

So $\tan θ > 0$ and $cs c θ < 0$ only in the third quadrant.

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