Question

√3-tan theta=0,then theta=

Answer 1

thita is equal to 90°

Answer 2

Answer-

The value of θ is,

$n\pi +\frac{\pi}{3}$

Solution-

Given expression is,

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

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

$\theta=\tan^{-1}\sqrt{3}$

$\theta=n\pi +\frac{\pi}{3}$

Where,

n=0,1,2,3 ....

As tan function has a period of π, so its value repeats after any multiple of π. That is why θ has infinitely many values.