Expand and simplify the trigonometric expression (tan(x)+1/tan(x))2cot(x)

 Exercise

$\left(tanx+\left(\frac{1}{tanx}\right)\right)\left(2cot\left(x\right)\right)$

 

Solve the product $2\left(\tan\left(x\right)+\frac{1}{\tan\left(x\right)}\right)\cot\left(x\right)$

$2\tan\left(x\right)+2\left(\frac{1}{\tan\left(x\right)}\right)\cot\left(x\right)$

 

Multiplying the fraction by $2$

$2\tan\left(x\right)+\frac{2}{\tan\left(x\right)}\cot\left(x\right)$

 

Multiplying polynomials $\cot\left(x\right)$ and $2\tan\left(x\right)+\frac{2}{\tan\left(x\right)}$

$2\cot\left(x\right)\tan\left(x\right)+\cot\left(x\right)\frac{2}{\tan\left(x\right)}$

$2\cot\left(x\right)\tan\left(x\right)+\cot\left(x\right)\frac{2}{\tan\left(x\right)}$

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