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Starting from the left-hand side (LHS) of the identity
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$\left(1-\sin\left(x\right)\right)\left(\sec\left(x\right)+\tan\left(x\right)\right)$
Learn how to solve problems step by step online. Prove the trigonometric identity (1-sin(x))(sec(x)+tan(x))=cos(x). Starting from the left-hand side (LHS) of the identity. Multiply the single term \sec\left(x\right)+\tan\left(x\right) by each term of the polynomial \left(1-\sin\left(x\right)\right). Simplify the product -(\sec\left(x\right)+\tan\left(x\right)). Multiply the single term \sin\left(x\right) by each term of the polynomial \left(-\sec\left(x\right)-\tan\left(x\right)\right).