Question

cot(x)sec^4(x)=cot(x)+2tan(x)+tan^x
please do this step by step so i can get a good grasp on what is happening

Answer 1

USE:
sec^2(x) = 1+tan^2(x)

Answer 2

how did you get that.

Answer 3

Well,
sec^2(x) = 1+ tan^2(x)
is an identity

Answer 4

like sin^2(x) + cos^2(x)=1

Answer 5

from the defination of trigonometric ratios, we have

Answer 6

now,
sec^2(x) = h^2/b^2
= (p^2 + b^2)/b^2
= p^2/b^2 +1
= tan^2(x) + 1

Answer 7

i just need to prove the identity

Answer 8

Now, you need to use sec^2(x) = 1 + tan^2(x)
to Prove cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)