Question

If Cos A >0, and Csc A < 0, what quadrant does A lie?

I don't know how to do this properly. I need the work to help

Answer 1

Quadrant IV.

Explanation:

You need to remember that :

All trig ratios are positive in the Quadrant I.

Sine and csc are positive in Quadrant II.

Tan and cot are positive in Quadrant III.

Cos and sec are positive in Quadrant IV.

So if cos A > 0 ( ie positive) it is in either Quadrant I or IV.

Csc is <0 (negative) so it is in either Quadrant II or IV.

So if cos A > 0 and csc < 0 , A must be in Quadrant IV.

Hope this helps.

Feel free to ask questions if this is not entirely clear.