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Math Help - Trignometry minimum & maximum values

  1. #1
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    Trignometry minimum & maximum values

    How can we get minimum & maximum values of "acosA+bsinB+c".
    (I am unable to understand it.could you simplify & magnify the solution & give it to me)
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  2. #2
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    Can you use Calculus and does a=A?
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  3. #3
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    Quote Originally Posted by rohith14 View Post
    How can we get minimum & maximum values of "acosA+bsinB+c".
    (I am unable to understand it.could you simplify & magnify the solution & give it to me)
     -1 \leq cos A \leq 1
     -1 \leq sin B \leq 1


    substituting: -1, 0, 1

    a(-1) + b(-1) + c = c - a - b
    a(-1) + b( 0) + c = c - a
    a(-1) + b(+1) + c = c - a + b

    a(0) + b(-1) + c = c - b
    a(0) + b( 0) + c = c
    a(0) + b(+1) + c = c + b

    a(+1) + b(-1) + c = c + a - b
    a(+1) + b( 0) + c = c + a
    a(+1) + b(+1) + c = c + a + b

    Those are the maximum & minimum values possible.
    IF you know the sign value of a,b,c then you can determine exactly which case applies.

    Without knowing the positive/negative magnitudes of a,b,c you cannot give a specific answer.

    .
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  4. #4
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    Trignometry maximam & minimum values

    we should not use caliculs and A&B are angles the sign may be +ve or -ve

    sorry i didn't think in ur way.
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