Final Answer
Step-by-step Solution
Specify the solving method
Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $\sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2$
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$\sin\left(x\right)^2-\sin\left(y\right)^2$
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 left-hand side (LHS) of the identity. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2. Since we have reached the expression of our goal, we have proven the identity.