Question

How do you simplify `cot (3π/2 - a)`?

Answer 1

• tan a

Explanation:

Property of complementary and supplementary arcs give -->
`cot ((3pi)/2 - a) = cot (pi/2 - a + pi) = - cot (pi/2 - a)`
Reminder of identity:
`cot (pi/2 - a) = tan a`
Therefor,
`cot ((3pi)/2 - a) = - tan a`