Find the positive integer value of satisfying 1 ( n ) = 1 ( 2 n ) + 1 ( 3 n ) .

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Find the positive integer value of n>3n>3 satisfying 1sin⁡(πn)=1sin⁡(2πn)+1sin⁡(3πn).\frac{1}{\sin\left(\frac{\pi}{n}\right)}=\frac{1}{\sin\left(\frac{2\pi}{n}\right)}+\frac{1}{\sin\left(\frac{3\pi}{n}\right)}.

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