How to prove the basic equation of sine-wave?

Question

y(t)= A.sin(wt+0)

w= omega

0= theta......plz co-operate

Answer 1

Prove? Explain, perhaps. OK.

A is the amplitude - the displacement will go between A and -A.

w is f*2*PI where f is the frequency - how many times per unit time the wave does a complete cycle. A complete cycle is 2*PI radians.

0 (theta) is the phase - where the wave starts when t = 0.  

Answer 2

Let y=theta

then y+1=theta+1

dy/dx = dtheta/dx

but is theta a function of x ...if not then dy/dx=0 !!!!!

and we can solve for y ..and THETA!!!

if it is then we have problems

I hope this helps