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    if 6cos^2theta -2cos2theta -3=0, then tan^2theta is equal to
    Janakiram Sharma 18th Dec, 2019

    Hello!

    The answer is One.

    Reason/Explanation-  here, expanding the given equation,

    cos2x=2cos^2x-1

    we get,

    6cos^2x-4cos^2x+2-3=0

    2cos^2x-1=0

    cos^2x=1/2

    cosx=1/(2)^(1/2)

    x=45 degrees.

    here,

    tan^2x=(tan 45)^2=1

    Therefore, Answer=1.

    These kind of equations must be solved by simplifying it. Hope this helps!

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