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The general solution of cosxcos6x=-1 is...

The general solution of `cosxcos6x=-1` is

A

`x=(2n+1)pi,n in Z`

B

`x=2npi,n in Z`

C

`x=npi,n in Z`

D

none of these

Text Solution

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`cosxcos6x = -1`
`=>cos6x = -1/cosx`
`=>cos6x = -secx`
Now, we know, `cos x in [-1,1]` and `sec x in [-oo,-1] uu [1,oo]`
So, only two below cases are possible for the given solution.
Case 1: When `cosx = -1 and cos6x = 1`
`=>x = (2n+1)pi`
...
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