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If theta "is theta " and (cos^(2)theta)/...

If `theta "is theta " and (cos^(2)theta)/(cot^(2) theta -cos^(2) theta) =3` then ` theta` is equal to

A

`(pi)/(4)`

B

`(pi)/(3)`

C

`(pi)/(2)`

D

`(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Solve cosec^(2)theta-cot^(2) theta=cos theta .

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Knowledge Check

  • If cos theta =4/5 then sin^2 theta cos theta + cos^2 theta sin theta is equal to :

    A
    `84/125`
    B
    `14/25`
    C
    `82/125`
    D
    `16/25`

  • If (cos^(2) theta)/(cot^(2) theta - cos^(2) theta) = 3 and 0^(@) lt theta lt 90^(@) , then the value of theta is

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    None of these

  • If theta =(pi)/(2 ^(n) +1), then cos theta cos 2 theta cos 2^(2) theta …cos 2 ^(n-1)theta is equal to

    A
    `(1)/(2 ^(n))`
    B
    `cos theta `
    C
    `2`
    D
    `2^(n)`

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    If cos ec^(4)theta+cos ec^(2)theta=12+cot^(4)theta+cot^(4)theta then 6cos^(2)theta is equal to

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