** Final Answer

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** Step-by-step Solution **

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Starting from the left-hand side (LHS) of the identity

Learn how to solve equations problems step by step online.

$\tan\left(x\right)+\cot\left(x\right)$

Learn how to solve equations problems step by step online. Prove the trigonometric identity tan(x)+cot(x)=sec(x)csc(x). Starting from the left-hand side (LHS) of the identity. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Apply the trigonometric identity: \displaystyle\cot(x)=\frac{\cos(x)}{\sin(x)}. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors.

** Final Answer

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