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The solution set of (5+4costheta)(2costh...

The solution set of `(5+4costheta)(2costheta+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}`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The solution set of (5+4 "cos" theta) (2 "cos" 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}`
  • Write the solution set of the equation (2cos theta+1)(4cos theta+5)=0 in the interval [0,2 pi]

    A
    `theta = (2pi)/3,(4pi)/3.`
    B
    `theta = (pi)/3,(4pi)/3.`
    C
    `theta = (2pi)/3,(pi)/3.`
    D
    `theta = (pi)/3,(5pi)/3.`
  • General solution of : costheta=1/2

    A
    `theta=2npipm(pi)/(3) AA n in ZZ`
    B
    `theta=2npipm(pi)/(6)AA n in ZZ`
    C
    `theta=2npipm(pi)/(4)AA n in ZZ`
    D
    none of these
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