Math, asked by khushi5435, 1 year ago

if tan A = 3/4 find the value of sin 2A

Answers

Answered by vinay140
9
Hey !!
Here is ur answer !!❤❤

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I think that sin2A is 6/5
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Hope this will help you
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Answered by TRISHNADEVI
29
✍✍HERE IS YOUR ANSWER...⬇⬇

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\underline{SOLUTION}

Given, \\ \\ \tan A = \frac{3}{4} \\ \\ To \: find \: : \: \sin 2A = ?

We \: \: know \: \: that, \\ \\ \boxed{\sin 2A = \frac{2 \tan \: A}{1 + ( \tan \: A) {}^{2} }}

By \: using \: this \: formula ,\: \: we \: get ,\\ \\ \sin \: 2A \: = \frac{2 \times \frac{3}{4} }{1 + ( \frac{3}{4}) {}^{2} } \\ \\ = \frac{ \frac{3}{2} }{1 + \frac{9}{16} } \\ \\ = \frac{ \frac{3}{2} }{ \frac{16 + 9}{16} } \\ \\ = \frac{ \frac{3}{2} }{ \frac{25}{16} } \\ \\ = \frac{3}{2} \times \frac{16}{25} \\ \\ = \frac{24}{25}

\underline{ANSWER} \sin \: 2A = \: \frac{24}{25}

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