Question

I NEED HELP WITH 5 MATH PROBLEMS: step by step!!! The left has to equal the right.
1.) cot(x)sec^4x = cot(x) + 2 tan(x) + tan^3(x)

Answer 1

cot(x)sec^4x=cotx ((sec^2x)^2)=cotx(1+tan^2x)^2
=cotx(1+2(tanx)^2+(tanx)^4)=1/tanx (1+2(tanx)^2+(tanx)^4)
=1/tanx +2 tanx + (tanx)^3=cot(x) + 2 tan(x) + tan^3(x)

Answer 2

Okay Thnx>
Next problem is:
(sinx)(tanx cosx - cotx cosx) = 1-2 cos^2x