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A value of theta in (0, pi//3), for whic...

A value of `theta in (0, pi//3)`, for which
`|(1+cos^(2)theta, sin^(2)theta, 4 cos(6theta)),(cos^(2)theta, 1+sin^(2)theta, 4cos(6theta)),(cos^(2)theta, sin^(2)theta, 1+4cos(6theta))|=0`, is

A

`(pi)/(9)`

B

`(pi)/(18)`

C

`(7pi)/(24)`

D

`(7pi)/(36)`

Text Solution

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The correct Answer is:
a
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