Question

Verify the identity.
cot(x-pi/2)= -tanx

please show work.

Answer 1

tan (x + pi/2) = -cot x 
tan (pi/6 + pi/2) = -cot (pi/6) 
tan (2pi/3) = -cot (pi/6) 
-sqrt (3) = -[sqrt 3] <<< so it is true for x = pi/6