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Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Rewrite $\cot\left(x\right)+\tan\left(x\right)$ in terms of sine an cosine
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$\sin\left(x\right)\left(\cot\left(x\right)+\tan\left(x\right)\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity sin(x)(cot(x)+tan(x))=sec(x). Starting from the left-hand side (LHS) of the identity. Rewrite \cot\left(x\right)+\tan\left(x\right) in terms of sine an cosine. Multiply the fraction and term. Simplify the fraction .