Q.
The positive integer value of n > 3 satisfying the equation 1sinπn=1sin2πn+1sin3πn is ________.
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answer is 7.
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Detailed Solution
1sinπn−1sin3πn=1sin2πnor sin3πn−sinπnsinπnsin3πn=1sin2πnor 2sinπncos2πnsin2πnsinπnsin3πn=1or sin4πn=sin3πn⇒ 4πn+3πn=π⇒ n=7.
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