Exercise
$\sin^2\left(x\right)=\sin^2\left(x\right)-\cos^2\left(x\right)$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(x)^2=sin(x)^2-cos(x)^2. Applying the trigonometric identity: \sin\left(\theta \right)^2-\cos\left(\theta \right)^2 = -\cos\left(2\theta \right). Grouping all terms to the left side of the equation. Multiply -1 times -1. Applying an identity of double-angle cosine: \cos\left(2\theta\right)=1-2\sin\left(\theta\right)^2.
Solve the trigonometric equation sin(x)^2=sin(x)^2-cos(x)^2
Final answer to the exercise
$x=\frac{1}{2}\pi+2\pi n,\:x=\frac{3}{2}\pi+2\pi n\:,\:\:n\in\Z$