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The solution set of cos 2 theta = 2 sin^...

The solution set of `cos 2 theta = 2 sin^(2)theta` is

A

`{n pi pm (pi)/(3) : n in Z}`

B

`{n pi pm (pi)/(4) : n in Z}`

C

`{n pi pm (pi)/(6) : n in Z}`

D

`{n pi : n in Z}`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The solution set of cos 2 theta = cos^(2) theta is

    A
    `{n pi pm (pi)/(3) : n in Z}`
    B
    `{n pi pm (pi)/(4) : n in Z}`
    C
    `{n pi pm (pi)/(6) : n in Z}`
    D
    `{n pi : n in Z}`

  • The solution set of 4sin^(2)theta = 3 is

    A
    `{n pi pm (pi)/(3) : n in Z}`
    B
    `{n pi pm (pi)/(4): n in Z}`
    C
    `{n pi pm (pi)/(6) : n in Z}`
    D
    `{n pi pm n in Z}`

  • The solution set of sqrt(3)cos theta = sin theta is

    A
    `{n pi +(pi)/(3) : n in X}`
    B
    `{n pi pm (pi)/(3) : n in Z}`
    C
    `{n pi pm (pi)/(6) : n in Z}`
    D
    `{n pi + (pi)/(6) : n in Z}`

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    The solution set of sec theta = 2 cos theta is

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    The solution set of sin 2theta = -1//sqrt(2) is

    The solution of sin 2 theta + cos 2theta + sin theta + cos theta + 1 =0 in the first quadrant is

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