4-4: ArcSine, ArcTangent, Intervals, ArcLarrys

Alright folks, check your ego at the door because 4-4 is going to be a MAD STRUGGLE.

Actually, that's not true at all; it really that difficult unless you suck at math.

( And if that's the case, rejoice because this blog will solve all problems and remedy all conditions for the mathematically impaired among you)

We're going to be dealing with Arcsine, Arctangent, Weird Interval Things, and the amazingly intricate ArcLarry.

Please don't think less of me because I took notes with a purple pen. I swear, this is a completely isolated incident.

The theory behind Arccosine/Arcsine/Arctangent is essentially that each inverse function's ratio will yield multiple angles according to its period. If that made absolutely NO sense to you, then consider it this way: What we're trying to do is find multiple angles at which the ratio will be the same.

Here are the two fundamental ArcSine equations and an example of how they work:

And now....ArcTangent (it only has one equation because you merely need to add 180 n to find the next angle):

The following 3 charts are extremely useful in determining ArcSine/ArcCosine/ArcTangent. They indicate the quadrants in which you can find an angle that will produce the same ratio that the inverse function does.

Those Weird Interval Things (The mutated paranthesis basically denote whether x will be equal to the outside range of the interval. Check your book for a rad explanation)

AND FINALLY, the ArcLarry:

http://www.themathpage.com/aTrig/inverseTrig.htm

^ridiculously sweet link. I expect a gift basket or some show of appreciation for such a fantastic website.

"My country send me to United States to make movie-film. Please, come and see my film. If it not success, I will be execute. "

-Borat!

REMINDER TO NAVJIT. you're next. give 'em hell.