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If a cos theta - b sin theta =c, " then...

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

A

`pmsqrt(a^(2)+b^(2)+c^(2))`

B

`pmsqrt(a^(2)+b^(2)-c^(2))`

C

`pmsqrt(a^(2)-b^(2)+c^(2))`

D

`pmsqrt(a^(2)-b^(2)-c^(2))`

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Knowledge Check

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

    A
    `a^(2) - b^(2) = p^(2) -q^(2)`
    B
    ` a^(2) + b^(2) = p ^(2) + q^(2)`
    C
    `a+b=p+q`
    D
    `a-b=p-q`

  • If a cos theta + b sin theta =4 and a sin theta- b cos theta = 3 " then" a^(2) + b^(2) is equal to

    A
    7
    B
    12
    C
    25
    D
    none of these

  • If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin theta is equal to

    A
    `sqrt2 tan theta`
    B
    `sqrt2 sin theta`
    C
    `sqrt2/( cos theta + sin theta)`
    D
    none of these

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