Final Answer
Step-by-step Solution
Specify the solving method
Applying the trigonometric identity: $\cot\left(\theta \right) = \frac{1}{\tan\left(\theta \right)}$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\frac{1+\tan\left(x\right)}{1+\frac{1}{\tan\left(x\right)}}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1+tan(x))/(1+cot(x)). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{1}{\tan\left(\theta \right)}. Combine 1+\frac{1}{\tan\left(x\right)} in a single fraction. Divide fractions \frac{1+\tan\left(x\right)}{\frac{1+\tan\left(x\right)}{\tan\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Simplify the fraction \frac{\left(1+\tan\left(x\right)\right)\tan\left(x\right)}{1+\tan\left(x\right)} by 1+\tan\left(x\right).