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The solution of costheta.cos2theta.cos3t...

The solution of `costheta.cos2theta.cos3theta=1/4,0 lt theta lt pi/4` is:

A

`pi/8`

B

`pi/6`

C

`pi/9`

D

`pi/12`

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • The number of solutions of sin theta+2 sin 2 theta+3 sin 3 theta+4 sin 4theta=10,0 lt theta lt pi is

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  • Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

    A
    Both Statement I and Statement II are individually true and R is the correct explanation of Statement I.
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    Both Statement I and Statement II are individually true but Statement II is not the correct explanaton of Statement I.
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