Question

if 3 tan 2theta equal to root 3, find theta

Answer 1

hope it is not wrong and helps you frnd

Answer 2

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

$\implies tan 2\theta = \frac{\sqrt{3}}{3} \\= \frac{\sqrt{3}}{\sqrt{3} \times \sqrt{3}} \\= \frac{1}{\sqrt{3}}$

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

$\implies tan 2\theta = tan 30\degree$

$\boxed { \pink { Value \: of \: tan 30\degree = \frac{1}{\sqrt{3}} }}$

$\implies 2\theta = 30$

$\implies \theta = \frac{30}{2}$

$\implies \theta = 15 \degree$

Therefore.,

$\red {\theta}\green { = 15 \degree}$

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