Question

Name the quadrant in which the angle$\theta$ lies.$csc\theta >0,\cos \theta <0$

Short answer

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

Step-by-step solution

Step 1.Given information

Here $csc\theta >0,\cos \theta <0$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 $\sin \theta andcsc\theta arepositiveandallothersarenegative.$

in the 3rd quadrant $\tan \theta andcot\theta arepositiveandallothersarenegativeandinthe4thquadrant\cos \theta andsec\theta arepostiveandallothersarenegative.$

So $csc\theta >o,\cos <0$lies on the second quadrant.