Question

no need to explain just tell the correct option

Answer 1

Solution

Find :-

• Value of (2 tan 60°)/(1- tan² 60°)

Explanation

Triangular Value

★ tan 60° = √3

So, Now Calculate value of (2 tan 60°)/(1- tan² 60°)

==> (2 tan 60°)/(1- tan² 60°)

Keep Value of tan 60°

==> (2 * √3)/(1 - √3²)

==> (2*√3)/(1-√3 * √3)

==> (2*√3)/(1 - 3)

==> (2*√3)/(-2)

==> -√3

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Hence

• Value of (2 tan 60°)/(1- tan² 60°) = -√3

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Since

• Your Answer Will be option Number (B).

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Answer 2

Question

$\frac{2 \tan60 {}^{0} }{1 - \tan {}^{2} {60}^{0} }$

Solution :-

$\frac{2 \tan(60 {}^{0} ) }{1 - \tan {}^{2} ( {60}^{0} ) }$

Now put the value of trigonometry angles

$\frac{2 \times \sqrt{3} }{1 - ( \sqrt{3}) {}^{2} } \\ \\ \frac{2 \times \sqrt{3} }{1 - 3 } \\ \\ \frac{2 \times \sqrt{ 3} }{ - 2} \\ \\ (- \sqrt{3} ) \: \: \: \: \: \: \: ans$