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The general solution of the equation cosxcos6x=1, is

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a
x=(2n+1)π,nZ
b
x=2nπ,nZ
c
x=(2n1)π,nZ
d
none of these

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detailed solution

Correct option is A

We have,

cosxcos6x=1 2cosxcos6x=2 cos7x+cos5x=2cos7x=1

and  cos 5 x=-1 

The value of x satisfying these two equations simultaneously and lying between 0 and 2 π is π. Therefore, the general solution is given by

x=2nπ+π,nZx=(2n+1)π,nZ

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