Math, asked by SB07, 1 year ago

plz answer no. 6 question

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Answered by sushant2505
1
Solution :

{\tan  }^{ - 1} \left[ 2 \sin \left(2 \:  {\cos }^{ - 1}   \frac{ \sqrt{3} }{2}  \right)   \right ] \\  \\ = { \tan }^{ - 1}  \left[ 2 \sin \left(2   \times  \frac{\pi}{6}  \right)   \right ] \\  \\  = {\tan  }^{ - 1} \left( 2 \sin  \frac{\pi}{3}    \right ) \\  \\  =  {\tan}^{ - 1}  \left(2 \times  \frac{ \sqrt{3} }{2}  \right)  \\  \\   =  {\tan }^{ - 1}  \left( \sqrt{3}  \right) \\  \\  = \frac{\pi}{3}  \:   \:  \:  \:  \:  \:  \: \textbf{Ans.}

SB07: i hv another question
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