# Given that `csc(theta)= -7/5` and that `theta` lies in the 4th quadrant find `cot(theta)`

*print*Print*list*Cite

### 1 Answer

It is given that `csc theta = -7/5` .

=> `sin theta = -5/7`

`cos theta = sqrt(1 - (-5/7)^2)`

=> `sqrt(24)/7`

`cot theta = cos theta/sin theta`

=> `sqrt 24/(-5)`

=> `-sqrt 24/5`

**The required value of `cot theta` = **`-2*sqrt 6/5`