Q. 31 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. 31 (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 fourth 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 lies.

We know that in the first quadrant all 6 trigonometric functions $(\sin 胃, \cos 胃, \tan 胃, s e c 胃, cs c 胃, c o t 胃)$ are positive. At the second quadrant only $\sin 胃 a n d cs c 胃 a r e p o s i t v e a n d a l l o t h e r s a r e n e g a t i v e$

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

At the fourth quadrant only $\cos 胃, a n d s e c 胃 a r e p o s i t i v e a n d a l l o t h e r s n e g a t i v e .$

A figure containing angle lies is given below

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

we know that $\cos 胃 > 0 a n d s e c 胃 > 0 o r p o s t i v e a n d a l l o t h e r t r i g n o m e t r i c f u n c t i o n s a r e n e g a t i v e i n f o r t h q u a d r a n t .$
hence $\cos 胃 > 0, \tan 胃 > 0, i n w h i c h a n g l e 胃 l i e s o n f o u r t h q u a d r a n t$

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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 lies.

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 lies.

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

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

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