Exercise
$2=3\sec\left(x\right)-\sec\left(x\right)^2$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 2=3sec(x)-sec(x)^2. Move everything to the left hand side of the equation. We can try to factor the expression 2-3\sec\left(x\right)+\sec\left(x\right)^2 by applying the following substitution. Substituting in the polynomial, the expression results in. Sort the polynomial 2-3u+u^2 in descending order to handle it more easily.
Solve the trigonometric equation 2=3sec(x)-sec(x)^2
Final answer to the exercise
$x=0,\:x=\frac{1}{3}\pi+2\pi n\:,\:\:n\in\Z$