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Question

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Sin π/14 sin 3π/14 sin 5π/14 sin 7π/14 sin 9π/14 sin 11π/14 sin 13π/14 sin 13π/14 = ? ( Also Name the trigonometric functions used)

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Solution

sinπ14sin3π14sin5π14sin7π14sin9π14sin11π14sin13π14
=sinπ14sin3π14sin5π14×1
×sin(π5π14)sin(π3π14)sin(ππ14)
=[sinπ14sin3π14sin5π14sin7π14]2=164.

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