I am dying here trying to solve this problem, I'd appreciate if you could help me

Simplify:

g(x) = 1/(4sin^2x)(cos^2x) - (1-tan^2x)^2/4tan^2x

Prove:

(cotB/cscB-1) + (cotB/cscB+1) = 2secB

(tan^3x/1+tan^2x) + (cot^3x/1+cot^2x) = 1-2sin^2xcos^2x/sinxcosx

If you get these your a math god and I will love you for the rest of my life

~Thanks

RedBooster