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Question

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 C 164
The value of sinπ14sin3π14sin5π14sin7π14sin9π14sin11π14sin13π14 is
=sinπ14sin3π14sin5π14×1×sin(π5π14)sin(π3π14)sin(ππ14)
=[sinπ14sin3π14sin5π14sin7π14]2
=164

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