Question

How to find csc theta where theta equals -120

Answer 1

-120 is in 3rd quadrant where the sine is negative
= -sin 60 = -sqrt3/2
csc is 1/sine so ur answer is -2/sqrt3

Answer 2

`(-2)/(√(3) )`

Explanation:

Cosec of -120 is to be found out

We can do this in steps

cosec (-120) consider only the - sign.

This implies angle lies in IV quadrant and hence cosec is negative

cosec (-120) =-cosec (120)

Now 120 is written as 180-60

cosec (-120) =- cosec(180-60)

=-cosec 60

(since II quadrant cosec is positive)

=
`(-2)/(√(3) )`