Simplify the trigonometric expression (tan(x)^2+1)/(tan(x)^2)

 Exercise

$\frac{tg^2\left(x\right)+1}{tg^2\left(x\right)}$

 

Expand the fraction $\frac{\tan\left(x\right)^2+1}{\tan\left(x\right)^2}$ into $2$ simpler fractions with common denominator $\tan\left(x\right)^2$

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

 

Simplify the resulting fractions

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

 

Applying the trigonometric identity: $\cot\left(\theta\right)=\frac{1}{\tan\left(\theta\right)}$

$1+\cot\left(x\right)^2$

$1+\cot\left(x\right)^2$

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