Question

what is tan^-1(2/√3). pls tell what will be the value of theta.​

Answer 1

the value of theta is 60,°

Answer 2

Solution:-

$\implies \: \theta = \tan \: {}^{ - 1} \frac{2}{ \sqrt{3} }$

multiplie tan both sides

$\implies \: \tan \theta = \cancel{ \tan \tan \: {}^{ - 1} } \: 2 \times \frac{1}{ \sqrt{3} }$

We know that

$\implies \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} }$

or

$\implies \pink{ \tan \:30 \degree \: = \frac{1}{ \sqrt{3} }}$

$\implies \: \cancel{\tan } \: \: \theta = 2 \cancel{ \tan} \: \: \: 30 \degree$

$\implies \red{ \theta = 60}$

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i hope it helps you