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Question

The value of (cos75cos15)2+(sin75sin15)2 is

A
0
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B
1
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C
12
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D
1
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Solution

The correct option is B 1
(cos75cos15)2+(sin75sin15)2
=cos275+cos2152cos75cos15 +sin275+sin2152sin75sin15
=22(cos75cos15+sin75sin15)
=2(1cos(7515))=2(1cos60)=2×12=1

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