2012年6月12日 · Homework Statement acos(x)+bsin(x)=Rsin(x+t) Homework Equations The Attempt at a Solution Is there any way to show how R is "placed" in acos(x)+bsin(x)=Rsin(x+t) algebraically? I mean I could, probably, do acos(x)+bsin(x)=sin(t)cos(x)+ cos(t)sinx(x), but still somehow need R in it. Does R...

2012年11月8日 · Show that Acos(ωt) + Bsin(ωt) can be written in the form r*sin(ωt - θ). Determine r and θ in terms of A and B. If Rcos(ωt - ε) = r*sin(ωt - θ), deermine the relationship among R, r, ε and θ. Homework Equations Trig identities. The Attempt at a …

2012年3月11日 · The general solution to this differential equation is x = Acos(ωt) + Bsin(ωt). Mar 11, 2012 #7

2009年4月8日 · Expand the RHS using the cos(A+B) identity. cos(A+B)=cos(A)cos(B)-sin(A)sin(B) or Ccos(x+a)=Ccos(x)cos(a)-Csin(x)sin(a)

2006年9月8日 · Hey, I’ve got a test in one week’s time and was studying through my textbook of geometry and trigonometry. I came across a “rule” which shows how to simplify expressions in the form of a \\cos \\theta + b \\sin \\theta but I do not understand how …

2009年11月1日 · Homework Statement Find A,B,C in sin^5(x) = Asin(x) + Bsin(3x) + Csin(5x). The Attempt at a Solution I get by Euler the double angle identities for sin(3x) and sin(5x). They are sin(3x) = s(2x) c(x) + c(2x) s(x) sin(5x) = s(3x) c(2x) + c(3x) s(2x) I have the following expression now...

2016年1月19日 · Ccos(wt+phi) = Acos(wt)+Bsin(wt) and isolate C and phi, I assume. Going in this direction can be a bit trickier. The results you have in the OP should help with this.

2008年6月6日 · solve this : bSin(x)+aCos(x)=bSin(mx)+aCos(mx) , make a discu:smile:ssion Insights Blog -- Browse All Articles -- Physics Articles Physics Tutorials Physics Guides Physics FAQ Math Articles Math Tutorials Math Guides Math FAQ Education Articles Education Guides Bio/Chem Articles Technology Guides Computer Science Tutorials

2016年8月8日 · The position of a particle is given by r(t) = acos(wt) i + bsin(wt) j. Assume a and b are both positive and a > b. The plane polar coordinates of a particle at a time t equal to 1/8 of the time period T will be given by _ Homework Equations r(t) = acos(wt) i + bsin(wt) j. The Attempt at a Solution at t = T/8 the value of wt=π/4.

2015年6月27日 · Homework Statement I already solved the question but there was a question at the end just for thought I guess. Solve the equation 3 cosx + 4 sinx = 2, for values of X from 0 to 360, inclusive. Again I already solved it ,the thing that I …