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91Ó°ÊÓ

Name the quadrant in which the angle θlies.

localid="1646636666532" sec<0,sinθ>0

Short Answer

Expert verified

The quadrant in which angle θlies on the second quadrant .

Step by step solution

01

Step `.1 Given information

In this question secθ<0,sinθ>0is given

We have to find out in which angle it lies.

02

. Description of finding the quadrant in which given angle lies 

We know that at the first quadrant all trigonometric ratios are positive, in the second quadrant sinθandcscθarepositveandallothersarenegative.

, in the 3rd quadrant tanθandcotθarepositveandallothersarenegative

and in the fourth quadrant cosθandsecθarepositveandallothersarenegative.

Hence givensinθ>0,sec>0liesonsecondquadrant.

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