Question

How do you evaluate `csc (arctan(-1 / sqrt3))`?

Answer 1

`-2`

Explanation:

Let `a = arc tan (-1/sqrt 3) in Q_4`, wherein sine is negative.

Then, `tan a = -1/sqrt 3 and sin a = -1/2`.

The given expression is `csc a = 1/sin a = -2`..