Question

State true or false:

${\tan }^2\theta =\frac{1}{3}⟹\theta ={30}^{\circ }$

• A. True
• B. False

Answer 1

The correct option is A True

Since, ${\tan }^2\theta =\frac{1}{3}$

$⟹{\tan }^2\theta ={\left(\frac{1}{\sqrt{3}}\right)}^2$

$⟹\tan \theta =\frac{1}{\sqrt{3}}$

$⟹\theta ={30}^{\circ }$