Say I have a cos function, $y = 1.2cos(0.503x) + 5$ And say I want to replicate it using sine, so expressing the above function in sine so that it gives "the same wave".
How would I do this? I know I have to find a phase shift, but I don't get the steps on how to do it. Also, please no use of Wolframalpha or the like, because I'll have to do these types of problems in class without them.
Thank you in advance.
Hint:
$\cos(x)$ is $\sin(x)$ shifted by $\pi/2$
$$\therefore \sin(x) = \cos(x - \pi/2)$$