Finding the Role of R in Trigonometric Equations: An Algebraic …
Jun 12, 2012 · 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) …
Transform General EQ Acos(wt)+Bsin(wt) - Physics Forums
Jan 19, 2016 · 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.
X = Acos(ωt) + Bsin(ωt) derivation - Physics Forums
Mar 11, 2012 · The general solution to this differential equation is x = Acos(ωt) + Bsin(ωt). Mar 11, 2012 #7
How Can You Express a Trigonometric Function as a Phase-Shifted …
Nov 8, 2012 · 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, …
How to show that Acosx+Bsinx=Ccos(x+a) - Physics Forums
Apr 8, 2009 · 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)
Find a,b,c in sin^5(x) = asin(x) + bsin(3x) + csin(5x) - Physics Forums
Nov 1, 2009 · 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 …
Adding two sinusoidal waves of same frequency but out of phase
Sep 8, 2021 · You started out OK. It's mostly based on the trig identity you used ##sin(a+b)=sin(a)cos(b) + cos(a)sin(b)## So:
How Does the Rule a Cos Theta - Physics Forums
Sep 8, 2006 · 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 …
Cos(A-B) vs sin(A+B) [acos(x) + bsin(x) question] - Physics Forums
Jun 27, 2015 · 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 …
Force acting on the particle is always directed towards the center
Oct 2, 2012 · r=acos(wt)i+bsin(wt)j is the equation(it is an ellipse) I need to somehow show that the force will always act towards the center.