Final Answer
Step-by-step Solution
Specify the solving method
Starting from the right-hand side (RHS) of the identity
Applying the pythagorean identity: $\cos^2(\theta)=1-\sin(\theta)^2$
Learn how to solve trigonometric identities problems step by step online.
$\cos\left(y\right)^2-\cos\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(x)^2-sin(y)^2=cos(y)^2-cos(x)^2. Starting from the right-hand side (RHS) of the identity. Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Since we have reached the expression of our goal, we have proven the identity.