Samllest positive angle satisfying the e...

Samllest positive angle satisfying the equation `cos^(2)x+cos^(2) 2x+cos^(2)3x=1`, is

A

`x=(2m+1)(pi)/2(m in I)`

B

`x=(2n+1)(pi)/4(n in I)`

C

`x=(2k+1)(pi)/6(k in I)`

D

`x=(2l+1)(pi)/8(l in I)`

Verified by Experts

The correct Answer is:

A, B, C

Equation can be written as `cos2x(cos 4x+cos2x)=0`
`implies 2cos x cos 2x cos 3x=0`

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