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Number of solution of the equation sin...

Number of solution of the equation
`sin 2x + cos 2x + sin x + cos x + 1 = 0`
In the interval, `(0, pi//2)` is

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Knowledge Check

  • Number of solutions of the equation sin 5x cdot cos 3x = sin 6x cdot cos 2x , In the interval [0, pi] is

    A
    3
    B
    4
    C
    5
    D
    none of these

  • The number of solutions of the equation sin^3x cos x + sin^2 x cos^2x cos^3 x = 1 in the interval [0,2pi] is /are

    A
    1
    B
    2
    C
    3
    D
    0

  • The general solution of the equation sin 2x + 2sin x +2 cos x+ 1 = 0 is

    A
    `3n pi - pi/4`
    B
    `2n pi - pi/4`
    C
    `2npi + (-1)^n sin^(-1) ((1)/(sqrt3))`
    D
    `npi - pi/4`

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