Question

establish simple identity for each of the following:
1.) tan(theta)*cos(theta)/sin^2(theta)
2.) cos(theta) + tan(theta) * sin(theta)
3.) (sec(theta) + 1) (sec(theta) -1)
4.) sin (theta) * cos(theta) / cos^2(theta)
5.) sin(theta) * sec(theta) * cot(theta)