Question

Verify the identity.

tan(x+(pi/2)) = -cot x

Answer 1

tan (x + π/2) = [sin (x + π/2) / cos (x + π/2)] = [sin x cos π/2 + sin π/2 cos x] / [cos x cos π/2 - sin x sin π/2] = cos x / - sin x = -cot x