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Q.

The General solution of the equation cos2x+cos22x+cos23x=1 is

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a

x=(2n+1)π2,(nz)

b

x=(2n+1)π4,(nz)

c

x=(2n+1)π6,(nz)

d

,(nz)

answer is A.

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Detailed Solution

cos22x+cos23x=1-cos2x1+cos4x+1+cos6x=2-2cos2x2cos2x+cos4x+cos6x=02cos2x+2cos5xcosx=0cosx(cosx+cos5x)=0cosxcos2xcos3x=0cosx=0 (or) cos2x=0 (or) cos3x=0

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