Verify. Cot( theta-pi/2)= -tan

Verify Tan theta + cot theta =. 1/ sin theta cos theta

For both of your problems first convert the tangent and cotangent functions into their sine and cosine equivalents then simplify. For the first one you will have to use the identities for sin(a-b) and cos(a-b). The second one comes right out, as long as you recall that sin^2a + cos^2a = 1.