Math, asked by AMER8055, 7 months ago

pls help its a trignomentry question . pls don't give all silly answers like I don't know kkkk sry etc​

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Answers

Answered by ItzRadhika
10

\bf\underline{\underline{\blue{SOLUTION:-}}}

Question

  • 2 tan30° / 1-tan²30°

Answer

  • Tan60°

Given

  • 2tan30° / 1- tan² 30°

Step by step explanation

 =  \frac{2 \: tan30}{1 - tan {}^{2}30 }

 =  \frac{2 \times  \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{3 - 1}{3} }

 =  \frac{ \frac{2}{ \sqrt{3} } }{ \frac{2}{3} }

  = \frac{2}{ \sqrt{3} } \times  \frac{3}{2}

  = \frac{3}{ \sqrt{3} }

 =  \frac{3}{ \sqrt{3} }   \times  \frac{ \sqrt{3} }{ \sqrt{3} }

 =  \frac{3 \sqrt{3} }{3}

 =  \sqrt{3}

tan60 =  \sqrt{3}

\bf\underline{\underline{\blue{HENCE:-}}}

  • Option (c) is correct

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Answered by gadaribabu1
0

Step-by-step explanation:

inka akka

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