Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

Answer 1

Just remember that
tanx = sinx/cosx
On the LS, replace both tangents , add them up using a common denominator
and recall that sin^2 x + cos^2 x = 1
falls apart so nicely