CP-400 Trouble using solve(

[filipe Profile]

Hello!
I'm having some trouble finding the right solution to a simple one variable equation:
sin(314t-1,413)=sin(-1,413)e^(-t/0,02)
Using t as variable i get No Solution, using x i get 0 and 10,92 (and a warning that there is more solutions).
I need to get the first value of t, that is 0,016 (aprox.).
314 is an angular velocity(rad/s), and i'm not sure if need's to be transformed into rad.
Can someone explain me what is the difference between using t and using x, and how to get the right value?

[PsySc0rpi0n Profile]

Hello!
I'm having some trouble finding the right solution to a simple one variable equation:
sin(314t-1,413)=sin(-1,413)e^(-t/0,02)
Using t as variable i get No Solution, using x i get 0 and 10,92 (and a warning that there is more solutions).
I need to get the first value of t, that is 0,016 (aprox.).
314 is an angular velocity(rad/s), and i'm not sure if need's to be transformed into rad.
Can someone explain me what is the difference between using t and using x, and how to get the right value?

In my case, I tried to solve with 't' and it returned 2 solutions:

t= 0 and t= 10.92

and also said that more solutions may exist.

The same result is shown using variable 'x'.

Would this message be due to sin periodicity? Like for every k*pi, the sin function result will repeat!

[filipe Profile]

Yes, i agree that there are many more solutions, since it is a periodical function.
But i'm only interested in the 1st, that should be aprox. 0,016.
Thank you.

[filipe Profile]

So, i think i've found the solution.
We need to do a variable change from wt to x (wt=x) in sin(), and them substitute t for the w/x equivalent.
Like this we get the values of x in crescent order.