Exercise
$\tan^2x-4\tan x+2=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation tan(x)^2-4tan(x)+2=0. We can try to factor the expression \tan\left(x\right)^2-4\tan\left(x\right)+2 by applying the following substitution. Substituting in the polynomial, the expression results in. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial u^2+-4+4.
Solve the trigonometric equation tan(x)^2-4tan(x)+2=0
Final answer to the exercise
$x=\frac{1}{90}\pi+,\:x=\frac{1}{90}\pi+\:,\:\:n\in\Z$