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Question

If Pn=cosnx+sinnx, then 2P6−3P4+1=

A
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1
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C
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3
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Solution

The correct option is C 0
2P63P4+1=2(cos6x+sin6x)3(cos4x+sin4x)+1=2((13sin2xcos2x)3[(sin2x+cos2x)22sin2xcos2x]+1
=26sin2xcos2x3(12sin2xcos2x)+1=0

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