Question

if tan theta 1 upon root 3 then find the value of 2 tan theta upon 1 minus tan squared theta​

Answer 1

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Answer 2

The value of the given expression is √3

Step-by-step explanation:

We have been given that

$\tan\theta=\frac{1}{\sqrt3}$

We have to find the value of the expression

$\frac{2\tan\theta}{1-\tan^2\theta}$

Substituting the value of tanФ

$\frac{2\cdot\frac{1}{\sqrt3}}{1-(\frac{1}{\sqrt3})^2}$

Simplify this expression

$\frac{\frac{2}{\sqrt3}}{1-\frac{1}{3}}\\\\=\frac{\frac{2}{\sqrt3}}{\frac{2}{3}}\\\\=\frac{2}{\sqrt3}\cdot\frac{3}{2}\\\\=\sqrt3$

#Learn More:

If theta is equal to 45 degree then find the value of 2 cosec square theta + 3 sec square theta

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