Math, asked by vishnupriya00510, 11 months ago

Please answer fast. ​

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Answers

Answered by isafsafiya
0

Answer:

 \sqrt{3}  \:

Step-by-step explanation:

solution------->

Given

  • perpendicular =1
  • hypotenuse =2

plz refer pic for diagram

as per que

ln Δ ABC

by Pythagorus Therom

AC² = AB² + BC²

(2)² = (1)² + BC ²

4 -1 = BC²

taking squre root out we get

BC = 3

now as per given que

tan (A) = \frac{ac}{ab}  \\  \\ tan (A) = \:   \frac{1}{ \sqrt{3} }  \\  \\

 \frac{2 \tan( \ \beta ) }{ 1 -  { \tan( \beta ) }^{2} }  \\  \\

now \: put \: all \: the \: values \\  \\  \frac{2 \times  \frac{1}{ \sqrt{3} } }{1 -  { \frac{1}{ \sqrt{3} } }^{2} }  \\  \\  \frac{ \frac{2}{ \sqrt{3} } }{ \frac{3 - 1}{3} }  \\  \\  \frac{2}{ \sqrt{3} }  \times  \frac{3}{2}  \\  \\  \frac{3}{ \sqrt{3} }

now

 \frac{3}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }  \\  \\  \frac{3 \sqrt{3} }{3}  \\  \\  3 \: will \: b \: cancle \\  \\  \sqrt{3}

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Answered by adityaaryaas
0

Answer:

Option (A) √3 is correct.

Please check the attached image for

Step-by-step explanation:

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