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Question

cos12cos24cos36cos48cos72cos96 equals

A
126
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B
128
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C
127
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D
127
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Solution

The correct option is B 126
Given, cos12.cos24.cos36.cos48.cos72.cos96

=2sin12.cos12.cos24.cos48.cos96.cos36.cos722sin12

=2sin24.cos24.cos48.cos96.cos36.cos724sin12

=2sin48cos48.cos96.cos36.cos728sin12

=2sin96.cos96.cos36.cos7216sin12

=sin192.cos36.cos7216sin12=sin(180+12).cos36.cos7216sin12

=116cos36.cos72=116(514)(5+14)

=164=126

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