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If a cos theta - b sin theta = c, prove...

If a cos `theta - b sin theta `= c, prove that a sin `theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2))` .

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Explore conceptually related problems

If a cos theta - b sin theta =c , then prove that a sin theta + b cos theta = +- sqrt(a^(2) + b^(2) - c^(2))

If a cos theta-b sin theta=c; prove that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)-c^(2))

Knowledge Check

  • If a cos theta - b sin theta =c, " then" a sin theta + b cos theta is equal to

    A
    `+- sqrt(a^(2)+b^(2)+c^(2))`
    B
    `+-sqrt(a^(2)+b^(2)-c^(2))`
    C
    `+-sqrt(c^(2)-a^(2)-b^(2))`
    D
    None of these

  • If a cos theta - b sin theta =c , then a sin theta + b cos theta =

    A
    `+- sqrt( (a^(2) + b^(2) - c^(2)))`
    B
    `+- sqrt( (b^(2) + c^(2) - a^(2)))`
    C
    `+- sqrt( (c^(2) + a^(2) - b^(2)))`
    D
    none

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    Explore conceptually related problems

    If a cos theta-b sin theta=c, show that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)+c^(2))

    If a cos theta-b sin theta=c, show that a sin theta+b cos theta=+-sqrt(a^(2)+b^(2)-c^(2))

    If (2sin theta + 3 cos theta) =2 , prove that (3 sin theta - 2 cos theta ) = pm 3.

    If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

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