Question

Solve each of the follwoing equations for $0^o<\theta <{90}^o$ :

$\sqrt{3}\tan 2\theta -3=0$

Answer 1

$\sqrt{3}\tan 2\theta -3=0$

$\tan 2\theta =\sqrt{3}$

$\tan 2\theta =\tan {60}^o$

$2\theta ={60}^o$

$\theta ={30}^o$