Question

Name the quadrant in which the angle $\theta$lies.

localid="1646636666532" $sec<0,\sin \theta >0$

Short answer

The quadrant in which angle $\theta$lies on the second quadrant .

Step-by-step solution

Step `.1 Given information

In this question $sec\theta <0,\sin \theta >0$is given

We have to find out in which angle it lies.

. 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 $\sin \theta and\mathrm{cs}c\theta arepositveandallothersarenegative.$

, in the 3rd quadrant $\tan \theta andcot\theta arepositveandallothersarenegative$

and in the fourth quadrant $\cos \theta andsec\theta arepositveandallothersarenegative.$

Hence given$\sin \theta >0,sec>0liesonsecondquadrant.$