The value of sinπ14sin3π14sin5π14sin7π14sin9π14sin11π14sin13π14 is equal to
A
18
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B
116
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C
132
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D
164
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Solution
The correct option is C164 The value of sinπ14sin3π14sin5π14sin7π14sin9π14sin11π14sin13π14 is =sinπ14sin3π14sin5π14×1×sin(π−5π14)sin(π−3π14)sin(π−π14) =[sinπ14sin3π14sin5π14sin7π14]2