Question

Solve this trigonometric equation. (Hint: use zero product property)

Answer 1

\[\tan(\theta)+\frac{ 1 }{ \tan(2\theta) }=\frac{ 2 }{ \tan(4\theta) }\]

Answer 2

I tried to factor out something but there is always either a sin(theta) or cos(theta) that can't be factored.

Answer 3

https://www.wolframalpha.com/input/?i=tanx+%2B1%2F%28tan%282x%29%29%3D2%2F%28tan%284x%29%29
That might help.