Question

Find the value of √3tan2theta - 3 = 0

Answer 1

HELLO DEAR,

LET THETA=(ALPHA)
$\sqrt{3} \tan(2 \alpha ) = 3 \\ = > \tan(2 \alpha ) = \frac{ \sqrt{3 } \times \sqrt{3} }{ \sqrt{ 3 } } \\ = > \tan(2 \alpha ) = \sqrt{3 } \\ = > \tan(2 \alpha ) = \tan(60) \\ = > 2 \alpha = 60 \\ = > \alpha = 30$
I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

√3tan2theta-3 =0
=> √3tan2theta = 3
=> tan2theta = 3/√3
=> tan2theta = √3
=> tan2theta = tan 60°
=> 2theta = 60°
=> theta = 60°/2
=> theta = 30°
Therefore theta = 30°