Finding the magnitude of an expression

2 views (last 30 days)
Aleem Andrew
Aleem Andrew on 9 Feb 2021
Answered: David Hill on 9 Feb 2021
Supposing that x can be expressed as a function of t as follows how can its magnitude be found using Matlab? For example, is there some way to simplify the expression as for example A*cos(wt+b) + B * exp(-0.25t)*sin(wt+c) so the magnitude would be sqrt(A^2+B^2) if this were possible?
syms t
x = 0.113*sin(3.0*t) - 0.125*cos(3.0*t) + 0.125*exp(-0.25*t)*cos(3.15*t) - 0.0977*exp(-0.25*t)*sin(3.15*t)
  1 Comment
KSSV on 9 Feb 2021
How the magnitude of the given function will be sqrt(A^2+B^2) ? Is it a complex number?

Sign in to comment.

Answers (1)

David Hill
David Hill on 9 Feb 2021
I would not use symbolic unless you need to.
x = @(t)0.113*sin(3.0*t) - 0.125*cos(3.0*t) + 0.125*exp(-0.25*t).*cos(3.15*t) - 0.0977*exp(-0.25*t).*sin(3.15*t);


Find more on Construct and Work with Object Arrays in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!