Question

What are the six trig function values of `(-3pi)/2`?

Answer 1

Let `a =-(3pi)/2`. Then `sin a = csc a = 1. cos a = sec a = 0`.
`tan a_- = cot a_- = oo. tan a_+-= cot a_+=-oo`.

Explanation:

The angle is common to both the 1st and the 2nd quadrants. Also, tan and cot have infinite discontinuity at this value. Accordingly, the answer is given.