Question

Cot x sec^4x = cot x + 2 tan + tan^3

Answer 1

And?

Answer 2

its a true statement ; note that\[\sec^4 x=\sec^2 x \ \sec^2 x=(1+\tan^2 x)^2\]

Answer 3

I need help figuring it out, i spent five hours and still did not come up with an answer

Answer 4

Using mukushla hint, it is simple.

1/Tanx * (1+tan^x)^2 = 1/Tanx + 2 tanx + tan^3x and cross multiply

(1+tan^x)^2 = 1 + 2 Tan^2 x + tan^4x QED