Periodic functions 1.10

Main points:
• Periodic functions are functions whose values repeat at regular intervals (E.g. sine and cosine functions)
• They can be presented in the form of: y=Asin(Bt)+C (A,B,C are called parameters)
○ A is the amplitude (half the difference between the functions maximum and minimum values)
○ B is the period (calculated by 2*pi/IBI
○ C is vertical shift

Challenges:
I might find it difficult in the beginning to work with radians as in the past I have used degrees. I still didn't understand where the sign (positive or negative) comes for amplitude. I am also looking forward to learn more about the nature of sine and cosine, because I came to wonder that aren't they just the same curve? y=sin(x) is the same as curve y=cos(x-(pi/2)) ? So I would like to know where they originate from and what are their major usages in mathematics.

Reflection:

I found the topic interesting to read, as it was revision from my IB mathematics. But I still had forgot the things completely… I'm happy that I did it now because at least one of the questions in lab 1 require discussion about amplitudes and periods. Periodic functions seem to be particularly useful for natural sciences, and even I am not taking them at the moment, I do enjoy biology problems the books has in its homework for this section.