** Final Answer

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** Step-by-step Solution **

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Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$

**Why is tan(x) = sin(x)/cos(x) ?

Learn how to solve simplify trigonometric expressions problems step by step online.

$\frac{\sin\left(x\right)}{\cos\left(x\right)}+\cot\left(x\right)$

Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression tan(x)+cot(x). 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. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete.

** Final Answer

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