Question

If cot theta = 1.5 and theta is in quadrant 3, what is the value of sin theta?

Answer 1

Use the right angled triangle.

Answer 2

Once you get the hypotenuse, find sin theta.

Answer 3

well start by recognising that cot = 1/tan

so if cot = 3/2 then tan =2/3

use pythagoras to find the hypotenuse...

and you know the opposite side is 2...

then you can find sin.... remember 3rd quadrant sin is negative