Question

If $\tan \theta +\frac{1}{\tan \theta }=2$ then the value of ${\tan }^2\theta +\frac{1}{{\tan }^2\theta }$ will be

• A. $4$
• B. $2$
• C. $1$
• D. $8$

Answer 1

The correct option is B $2$

$\tan \theta +\frac{1}{\tan \theta }=2$
Squaring both sides
${\tan }^2\theta +\frac{1}{{\tan }^2\theta }+2=4$
${\tan }^2\theta +\frac{1}{{\tan }^2\theta }=2$