Q. 32 Name the quadrant in which the a... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q. 32 (page 395)

Name the quadrant in which the angle $胃$ lies.
$\cos 胃 < 0, \tan 胃 > 0$

Short Answer

Expert verified

The quadrant in which angle $胃$ lies on 3rd quadrant.

Step by step solution

Step `.1 Given information

]Here $\cos 胃 < 0, \tan 胃 > 0$ is given,

We have to find out in which angle it lies.

Step 2. Description of the quadrant in which trigonometric functions lie.

A figure containing angle lies is given below

Based on the figure we can easily understand that in the first quadrant all trigonometric ratios are positive, in the 2nd-second quadrant $\sin 胃 a n d cs c 胃 a r e p o s i t v e a n d a l l o t h e r s a r e n e g a t i v e$

, in the 3rd quadrant $\tan 胃 a n d c o t 胃 a r e p o s i t v e a n d a l l o t h e r s a r e n e g a t i v e$

and in the 4th quadrant $\cos 胃 a n d s e c 胃 a r e p o s i t v e a n d a l l o t h e r s a r e n e g a t i v e$

Step 3. Description of finding the quadrant in which given angle lies

Here $\cos 胃 < o m e a n s \cos 胃 i s n e g a t i v e a n d \tan 胃 > o, \tan 胃 i s p o s i t i v e, s o t h e s e t r i g n o m e t e t r i c r a t i o s l i e s o n 3 r d q u a d r a n t .$

Since $i n 3 r d q u a d r a n t o n l t \tan 胃 > 0, c o t 胃 > o o r p o s i t i v e a n d a l l o t h e r r a t i o s a r e n e g a t i v e .$

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91影视

Name the quadrant in which the angle $胃$ lies.
$\cos 胃 < 0, \tan 胃 > 0$

Short Answer

Step by step solution

Step `.1 Given information

Step 2. Description of the quadrant in which trigonometric functions lie.

Step 3. Description of finding the quadrant in which given angle lies

One App. One Place for Learning.

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91影视

Name the quadrant in which the angle 胃lies.cos胃<0,tan胃>0

Short Answer

Step by step solution

Step `.1 Given information

Step 2. Description of the quadrant in which trigonometric functions lie.

Step 3. Description of finding the quadrant in which given angle lies

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Statistics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Name the quadrant in which the angle $胃$ lies.
$\cos 胃 < 0, \tan 胃 > 0$