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Q.

General of sin5x =cos2x is of the form anπ2, n=0, ±1, ±2, ......then an =

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a

2n5+2(-1)n

b

2n+(-1)n5+2(-1)n

c

2n+15+2(-1)n

d

2n-15+2(-1)n

answer is B.

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Detailed Solution

sin5x=cos2x sin5x=sinπ2-2x      5x=+(-1)nπ2-2x      5x+2x(-1)n=(2n+(-1)n)π2            x=2n+(-1)n5+2(-1)n

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