Exercise
$3+\tan^2\left(x\right)=-2+\frac{1}{\cos^2\left(x\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation 3+tan(x)^2=-2+1/(cos(x)^2). Move everything to the left hand side of the equation. Add the values 3 and 2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 5+\frac{-1}{\cos\left(x\right)^2} from both sides of the equation. Combine 5+\frac{-1}{\cos\left(x\right)^2} in a single fraction.
Solve the trigonometric equation 3+tan(x)^2=-2+1/(cos(x)^2)
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n,\:x=\frac{3}{2}\pi+2\pi n\:,\:\:n\in\Z$