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  1. O

    What's the hypotenuse of acosx + bsinx = c

    Oh, all right. Was just trying to make sense of procedural equations like c= Rsin(x+t) and where they might have originated from in solving these equations. Thanks.
  2. O

    What's the hypotenuse of acosx + bsinx = c

    I thought R was the radius and also the hypotenuse.
  3. O

    What's the hypotenuse of acosx + bsinx = c

    sinx- sqrt(2)cosx= 1 is of the form acosx+ bsinx= c. Comparing the two equations we have c=1. But by a^2+ b^2= c^2 we have c= sqrt(3). If c=1 and a^2+ b^2= c^2, then 1^2+ (-sqrt(2))^2= sqrt(3) ≠ 1. cosx= x/r where r=1, so cosx=x and sinx= y. So I thought that must mean acosx=x and bsinx= y...
  4. O

    What's the hypotenuse of acosx + bsinx = c

    Homework Statement What's the hypotenuse of acosx + bsinx = c and by extension sinx - sqrt(2)cosx = 1 ? Homework Equations The Attempt at a Solution If cosx = x and sinx = y and a^2 + b^2 = c^2, then going by acosx + bsinx = c the hypotenuse of sinx - sqrt(2)cosx = 1 have to be...
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