need help don't understand how to do this....

Question

1.Verify the identity cot(θ-( π/2)= -tan θ

2. Verify the identity tan θ + cot θ =1/sin θ cosθ

Answer 1

a. Personally, I would change the left side to cos(theta+PI/2) /sin(theta+PI/2)
then do the addition formulas in the numerator, and denominator, and it ought to reduce quickly to -sinTheta/cosTheta

b. Easy. Change the left side to sin/cos+cos/sin, combine to denominator cosThetaSinTheta, it reduces immediately.

Answer 2

Thanks