Question

Root3 tan4theta-3=0 find theta

Answer 1

√3 * tan4 theta -3 = 0

➡ √3tan 4theta = 3

➡ tan 4theta = 3/√3

➡ tan4 theta = √3

➡ We know that, tan 60° = √3

➡ so, tan 4 theta = tan 60°

➡ 4 theta = 60°

➡ theta = 60/4

➡ theta = 15°

Hope it will help you !!!

Answer 2

Trigonometry,

Let 'a' instead of theta,ok
we have,

$\sqrt{3} \tan(4a) - 3 = 0$

or, √3tan(4a) = 3

or, tan(4a) = 3/√3

or, tan(4a) = √3

or, tan(4a) = tan60° [as we know that tan60° = √3]
So, 4a (4theta) = 60°

Therefore theta is equal to 60°/4 = 15°.

That's it
Hope it helped ლ(´ڡ`ლ)