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Starting from the left-hand side (LHS) of the identity
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$\left(1-\cos\left(x\right)^2\right)\sec\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (1-cos(x)^2)sec(x)=sin(x)tan(x). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiply the fraction and term.