A primer on Trigonometry?
While I am technically eligible to take the Calculus course the school I attend offers, I elected to take Trig this spring instead as that has cause mass amounts of head-ache for me in the past.
Before I actually go into that class, however, I would like to do a bit of self study. My problem is I'm not exactly sure where to find good online resources for self teaching math. I've done a google search or 20, but I'm not even sure where to go with it.
Before I actually go into that class, however, I would like to do a bit of self study. My problem is I'm not exactly sure where to find good online resources for self teaching math. I've done a google search or 20, but I'm not even sure where to go with it.
I don't know if this is a primer.... but this is the best I could come up with :P
http://www.amazon.com/Trigonometry-Beginners-Large-Print-Todhunter/dp/0554568683
http://www.amazon.com/Trigonometry-Beginners-Large-Print-Todhunter/dp/0554568683
I posted this same thread on the mathlearning subreddit, they directed me to http://www.khanacademy.org/
I gotta say I already like it. They have literally thousands of video tutorials over hundreds of topics across various topics. And most the videos I've watched so far have been really great at what explaining the subject they covered.
I gotta say I already like it. They have literally thousands of video tutorials over hundreds of topics across various topics. And most the videos I've watched so far have been really great at what explaining the subject they covered.
Video tutorials are slow.
¿could you post your course plannification? Trigonometry was just a subject, so I wonder what a full length course could reach.
¿could you post your course plannification? Trigonometry was just a subject, so I wonder what a full length course could reach.
It's offered as a course in most colleges/universities around here.
And I don't exactly have one yet. I probably wont till I start the class in january
And I don't exactly have one yet. I probably wont till I start the class in january
Trigonometry can is as easy as SOH CAH TOA and c2 = a2 + b2. Everything is a right triangle.
This dosen't cover everything, but I found it useful:
http://wright.nasa.gov/airplane/trig.html
I found this when I was reading into a book on Neural Networks. In said book they used the cosine function, which I had never encountered before. Needless to say, Google gave me justice.
http://wright.nasa.gov/airplane/trig.html
I found this when I was reading into a book on Neural Networks. In said book they used the cosine function, which I had never encountered before. Needless to say, Google gave me justice.
Don't they teach trigonometry in high school wherever you live? Or is this something advanced? (I wonder what advanced trig could be though.. Fourier series?)
| I found this when I was reading into a book on Neural Networks. In said book they used the cosine function, which I had never encountered before. Needless to say, Google gave me justice. |
...the fuck?
To better understand the trigonometric functions, look up the unit circle. I would call this pre-calculus rather than trigonometry, though.
Since we're on a C++ forum, consider writing a program that draws a circle on the screen. The screen is a 2D (Cartesian) coordinate system. There are two challenges here: 1) how do we traverse the circle about its origin? 2) How do we get x and y coordinates for a position on the circle? For the first, a polar coordinate system makes this a simple for loop about the origin with a fixed radius. For the second, we need a function to translate the polar coordinates to Cartesian coordinates. Those functions are thus defined as the cosine and sine (for finding the x and y, respectively).
It's an interesting application of the unit circle concept. The unit circle begins at (1,0), or the farthest point right of the circle and traversal is typically counterclockwise. So when someone asks what the sine of 90 degrees is, you think of the point at the top center of the circle's y coordinate, which is 1.
I'm sure resources online should cover this better I, so I'll leave it at that. Hope this helps.
Since we're on a C++ forum, consider writing a program that draws a circle on the screen. The screen is a 2D (Cartesian) coordinate system. There are two challenges here: 1) how do we traverse the circle about its origin? 2) How do we get x and y coordinates for a position on the circle? For the first, a polar coordinate system makes this a simple for loop about the origin with a fixed radius. For the second, we need a function to translate the polar coordinates to Cartesian coordinates. Those functions are thus defined as the cosine and sine (for finding the x and y, respectively).
It's an interesting application of the unit circle concept. The unit circle begins at (1,0), or the farthest point right of the circle and traversal is typically counterclockwise. So when someone asks what the sine of 90 degrees is, you think of the point at the top center of the circle's y coordinate, which is 1.
I'm sure resources online should cover this better I, so I'll leave it at that. Hope this helps.
| What kind of school were you in that didn't cover the cosine function? |
| ...the fuck? |
My High School does cover trigonometry. I'm just not in those classess yet. I was reading through the book on neural networks on my own.
| Trigonometry can is as easy as SOH CAH TOA and c2 = a2 + b2. Everything is a right triangle. |
Hmm.. I am taught the reverse way i.e TOA CAH SOH in my schooling years.
When it's not a right-angled triangle it doesn't get that much harder.
c2 = a2 + b2 becomes c2 = a2 + b2 - 2.a.b.cos C
c2 = a2 + b2 becomes c2 = a2 + b2 - 2.a.b.cos C
Topic archived. No new replies allowed.