Why hello there! This is Nonny the Nonagon stopping by to help everyone with section 6.3. His good friend, Sergei the Circle has decided to come with him to help. Sergei is really good with explaining the graph of sin.Now, Mr. Wilhelm told us how to look at a graph of sin. Although he had a fancy website, here's a picture showing how a point on a circle coincide with the sin of a point. (This was Sergei's favorite example)
When you keep going around a circle to show the graph on sin, that wave, formally called a period, will keep repeating. A period is the smallest part of the wavelength on the graph before it repeats.
Mr. Wilhelm also told us these two equations which go along with the graph below when:
1) 
2) 
2) 
Basically, he's just showing us how the two angles are both solutions to the equation, although they are: in completely different quadrants and two different standard position angle measures.
Flashback to Honors Algebra 2 A, we went over functions today in class. Though we were a little rusty on them, we ended up figuring out how this section relates back. But before we get into it, lets review what even and odd functions are.
Now, is there any difference between those functions and these?
The answer to that would be a no. All we did is change the x to a theta so we can use these equations for circles. But which trigonometric function goes with which? Good question.
Just remember than when you have the two functions below, your answer will always be an odd function.
That's about it for my part of the lesson, so until next time, Bye!
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