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Starting from the left-hand side (LHS) of the identity
Learn how to solve trigonometric identities problems step by step online.
$\tan\left(x\right)^2-\sin\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity tan(x)^2-sin(x)^2=tan(x)^2sin(x)^2. Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \tan\left(\theta \right)^n=\frac{\sin\left(\theta \right)^n}{\cos\left(\theta \right)^n}, where n=2. Combine all terms into a single fraction with \cos\left(x\right)^2 as common denominator. Factor the polynomial \sin\left(x\right)^2-\sin\left(x\right)^2\cos\left(x\right)^2 by it's greatest common factor (GCF): \sin\left(x\right)^2.