JEE Aspirants...Where ya At?... Brainliest For The Best!
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2
Answer :
7
Solution :
Given,
1/( sinπ/n ) = 1/(sin2π/n) + 1/( sin3π/n)
=> 1/( sinπ/n ) - 1/( sin3π/n) = 1/(sin2π/n)
=> (sin3π/n - sinπ/n)/(sinπ/n sin3π/n) = 1/(sin2π/n)
=> (2 cos2π/n sinπ/n)/(sinπ/n sin3π/n) = 1/(sin2π/n)
=> 2 cos2π/n sin2π/n = sin3π/n
=> sin4π/n = sin3π/n
=> 4π/n = π - 3π/n
=> 7π/n = π
=> n = 7
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35
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