Homework Help

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

user profile pic

rapsplash | Student, Undergraduate | (Level 1) eNoter

Posted March 21, 2012 at 2:21 PM via web

dislike 1 like

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

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 21, 2012 at 2:43 PM (Answer #1)

dislike 1 like

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`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes