Exercise
$\frac{sin^2x-cos^2x}{cos^2x}=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation (sin(x)^2-cos(x)^2)/(cos(x)^2)=0. Applying the trigonometric identity: \sin\left(\theta \right)^2-\cos\left(\theta \right)^2 = -\cos\left(2\theta \right). Multiply both sides of the equation by \cos\left(x\right)^2. Multiply both sides of the equation by -1. The angles where the function \cos\left(2x\right) is 0 are.
Solve the trigonometric equation (sin(x)^2-cos(x)^2)/(cos(x)^2)=0
Final answer to the exercise
$x=\frac{1}{4}\pi+\pi n,\:x=\frac{3}{4}\pi+\pi n\:,\:\:n\in\Z$