Inverse Trig Functions -- prepare to get bored
There's not a lot to say except that these things aren't exactly winning any fans. This type of problem is really tough to teach in an interesting way. Only bright side is that you won't see these ever again, pretty much. Actually, you will, I was just trying to make you feel better. But some of them you won't, especially the crazy nested ones in the last video. That I can (pretty much) promise you.
Intro to Inverse Sine, Cosine & Tangent
Inverse trig functions are the exact opposite of the unit circle stuff you've seen up to this point. Before, it was always "what's the sine of X angle." Well, now it's going to be "give me the angle whose sine is X." And it turns out that's a bit tougher, especially since you've got to know which quadrants you're allowed to use, and it's different for each function!
Inverse Trig Examples!
In this video I'll just take the inverse trig function stuff we touched on in the last video and work a ton of example problems, still just for sin-1, cos-1 & tan-1. Good thing too since this is one of the more confusing things about trig, and you'll have to be good at this if you're going to solve trig equations in upcoming chapters.
Inverse Sec Csc Cot
These are very similar to the inverse sine, cosine and tangent problems, except worse because these always involve the extra step of flipping and rationalizing first. No fun! There is also a common mistake that I've seen a lot of students make, so I'll show you how to avoid that one.
Inverse Trig on the Calculator
Trig teachers usually don't explain how to do trig on a calculator because... I'm not sure why, maybe they're just mean, since they usually also give you a few problems that you MUST use a calculator on. Don't worry, though, I've got your back with this handy-dandy tutorial on doing inverse trig on your TI-83, TI-84, etc.
Nested Trig Functions (Composite Functions)
Like Russian dolls, these problems have one trig function inside another, such as sin-1(cos60). This is a type of problem that every trig teacher loves, so I've given them their own video. They're not too bad if you break it down and work from the inside out. I'll also show you a trick to spot whether they'll just cancel each other out, like in Arcsin[sin(60)].