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Question

The value of (sinπ8+icosπ8)8(sinπ8icosπ8)8 is

A
-1
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B
1
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C
2i
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Solution

The correct option is B 1
(sinπ8+icosπ8)8(sinπ8icosπ8)8=(cosπ8+isinπ8)16
=cos2πisin2π=1

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