Determine apositive integer n........

JEE Mains 2015 Discussion Forum › Trignometry questions › Determine apositive integer n........

$Determine a positive integer $n$ for which \\\\ $\underbrace{\sqrt{6+3\sqrt{2+\sqrt{2+\sqrt{2........+\sqrt{2}}}}}}_{(n)-times}=2\left \{ sin(\frac{35\pi}{96})+cos(\frac{19\pi}{96}) \right \}

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Ricky ·2011-01-02 00:15:43

Rearrange the L . H . S . to obtain -
L . H . S . = √32 { sin ( 35 Î 96 ) }
Hence , taking the factor " √32 " to the other side ,

R . H . S = 2 √2 + √2 + √2 + ...... > 2

But L . H . S = sin ( 35 Î 96 ) < 1

Hence , there exists no such " n " .

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Basic Integral Calculus Operators Symbols Matrix Cases

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Determine apositive integer n........

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