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Question

If x [π2,5π2], the greatest positive solution of 1 + sin4x=cos23x is


A

π

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B

2π

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C

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D

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Solution

The correct option is B

2π


sin23x+sin4x = 0

Or sin2x(34sin2x)2+sin2x=0

sinx=0x=nπGreatest value is 2π


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