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MR. ZRENNER LYRICS: I've got Trig questions, you need Trig answers. Are you having Trig trouble? Let's check the first chapter. Let's say we got a triangle, and we know that it's right. I can figure that out, use SohCahToa all night! SohCahToa, it's nice to know ya ... anytime I need to find a side or an angle. SohCahToa, it's nice to know ya ... but only if I have a right triangle. That means I gotta pick one, so I guess I'll try tangent. I know that ratio: opposite over adjacent. But wait one second, I have the hypotenuse. So, sine or cosine is what I'll have to use. Or ... maybe my triangle's weird, like acute or obtuse. Then the Law of Sines is what I will do. "a" over sin of A, that's how it starts. "b" over sin of B, that's the easy part. "c" over sin of C, follow right along. "d" over sin of D, wait, that's not in this song. And if that gives you trouble, I've got your reaction: no worries here, just flip your fractions! But you're looking at your triangle, and it doesn't seem whole. OMG, Mr. Z, there's no full ratio! No worries again, there's a separate law for that. It's the Law of Cosines, as a matter of fact. Now this is a weird one, so try to listen close. It's semi-familiar, so let's see where it goes. a-squared = the squares of b and c. That's Pythagorean Theorem, you might already see. If we subtract a little bit, you should be okay: minus 2-b-c times the cosine of A. So, to solve for the side, I plug it in, not too bad. Yeah, just make sure to take the square root of that. Then, to solve for an angle, is that any worse? Just subtract my squares, divide, and take the inverse (take the inverse). Let's reverse ... Law of Cosines, Law of Sines, SohCahToa, that's three. I get it ... triangles ... Trigonometry!