Question

simplify
tan^4x+2tan^2 + 1

Answer 1

Is this tan x to the power 4 plus 2 tanx squared plus 1?

Answer 2

hint: factorise and apply pythagorean identities.

Answer 3

\[\tan^2 x +1 = \sec^2 x\]
\[x^2 + 2x +1 = (x+1)^2\]
I believe these hints are sufficient. Good luck!