Exercise
$\tan^2\left(x\right)=2\tan\left(x\right)+1$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation tan(x)^2=2tan(x)+1. Move everything to the left hand side of the equation. We can try to factor the expression \tan\left(x\right)^2-2\tan\left(x\right)-1 by applying the following substitution. Substituting in the polynomial, the expression results in. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2.
Solve the trigonometric equation tan(x)^2=2tan(x)+1
Final answer to the exercise
$x=\frac{1}{180}\pi+,\:x=\frac{1}{180}\pi+\:,\:\:n\in\Z$