Math, asked by pandeyjaiup, 19 days ago

2 tan 30degree/1-tan square 30 degree=​

Answers

Answered by sethyjyotirmayee3
1

Answer:

so this ans is 3

Step-by-step explanation:

so hope it is helpful to u

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Answered by vikkiain
0

 \sqrt{3}

Step-by-step explanation:

Given, \:  \:  \:  \: \frac{2tan30°}{1 - tan^{2}30° }  \\ Now, \:  \:  \:  \frac{2 (\frac{1}{ \sqrt{3} }) }{1 - ( \frac{1}{ \sqrt{3} } )^{2} }  =  \frac{ \frac{2}{ \sqrt{3} } }{ 1 -  \frac{1}{3} } \\  =  \frac{ \frac{2}{ \sqrt{3} } }{ \frac{2}{3} }   =  \frac{2}{ \sqrt{3} }  \times  \frac{ 3}{2}  \\  =  \sqrt{3}  \\  \\ 2nd  \:  \: method:  \:  \:  \: use \:  \: this \\  \boxed{ \frac{2tan \theta}{1 - tan^{2} \theta } = tan2 \theta } \\ Now, \:  \: \frac{2tan30°}{1 - tan^{2}30° } = tan2(30°) \\  = tan60° =  \sqrt{3}

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