Question

How do you find the exact value of `1/[cot(pi/4)] - 2/[csc(pi/6)]`?

Answer 1

`1/cot (pi/4) = tan(pi/4)` = 1

`csc (pi/6) = 1/sin (pi/6) = 1/(1/2) = 2`

`2/csc(pi/6) = 2/2 = 1`

`1/cot (pi/4) - 2/csc (pi/4) = 1 - 1 = 0`