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The number of values of theta in the int...

The number of values of `theta` in the interval `-pile theta le pi` satisfying the equation `cos theta + sin 2 theta =0` is-

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The most general values of theta satisfying the two equations cos theta =-(1)/(sqrt2) and tan theta =1 are-

    A
    `2 n pi pm (pi)/(4)`
    B
    `n pi + (5pi)/(4)`
    C
    `(2n +1 ) pi+ (pi)/(4)`
    D
    `n pi -(5pi)/(4)`

  • Number of values of theta which satisfy sin^2theta-2sin^2theta-1=0 is

    A
    0
    B
    infinite
    C
    equal to the number of values of `theta` satisfying `8sec^2theta-6sectheta+1=0`
    D
    none of these

  • If theta a positive acute angle then the value of theta satisfies the equation sqrt(3) sin theta -cos theta=0 is

    A
    `pi/2`
    B
    `pi/3 `
    C
    `pi/6`
    D
    `pi/8`

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    The value of theta lying between theta=0 and theta=pi/2 and satisfying the equation |1+sin^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e (7pi)/(24) (b) (5pi)/(24) (c) (11pi)/(24) (d) pi/(24)

    sin theta -2 = cos2theta when 0 le theta le 2pi

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