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Solve: sin^2 theta-cos theta=1/4 in the ...

Solve: `sin^2 theta-cos theta=1/4` in the interval `(0^@lethetale2pi^c)`

A

`{pi/3,(5pi)/3}`

B

`{pi,pi/2}`

C

`{pi/3,pi/4}`

D

None

Text Solution

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A
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Knowledge Check

  • Solve: tan^2theta+sec2theta=1,0^@lethetale90^@

    A
    `theta=60^@`
    B
    `theta=pi/4`
    C
    `2pi/3`
    D
    None

  • The solution set of (5+4costheta )(2cos theta+1)=0 in the interval [0,2pi]

    A
    `{pi/3, (2pi)/3}`
    B
    `{pi/3, pi}`
    C
    `{(2pi)/3 , (4pi)/3}`
    D
    `{(2pi)/3, (5pi)/3}`

  • The solution set of (5+4 cos theta) (2 cos theta + 1) =0 in the interval [0, 2pi] is

    A
    `{(pi)/(3), (2pi)/(3)}`
    B
    `{(pi)/(3), pi}`
    C
    `{(2pi)/(3), (4pi)/(3)}`
    D
    `{(2pi)/(3), (5pi)/(3)}`

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