TRIG CHEAT SHEET!

Wow! As I was preparing for tomorrow's test, I found this amazing 'cheat sheet.' Really it's just a bunch of formulas, but only for trig. I still find it amazing because it includes virtually everything! I'd check it out if I were you! Print yourself a copy, I know I will.

Trigonometry 'Cheat Sheet'

Friday the 13th

Sorry for having this post up a tad bit late but having been away for the first week of class I hadn't been invited to this blog so was unable to contribute to it. Anyways this is for FRIDAY THE THIRTEENTH which if i heard right wasn't a real lucky day for our basketball team. To bad guys but you'll just have to prove that it was the dates fault for your losses in your next game. But back to the class. It was basically a free period where we were allowed to either work on the assignments given to us or go and watch the basketball tournament in the gym. Here's hopping that no ones weekend turned out following the forecast given below.


http://www.iceagenow.com/

Trigonometric Ratios

If you ever come across a question like this, don't worry about the technology! It could make things much more complicated than necessary, unless you're good at changing about a million decimal places into whole pi units. ;) Refer to your unit circle, it will present things in a much neater manner.

See, this right here is what I'm talking about. 30 degrees is equal to .5235987756 OR pi over six.

How do they relate? Well, they're equal to the same thing, 1/2.

If you are wondering why we stopped at just these four numbers, recall that we had a statement before saying... Zero is less than/equal to thata which is less than or equal to two pi. (Sorry I have to put it into words, I couldn't find how to use symbols on here!).


This has the same idea as the above example, remember to stay within the limits of the equation given.

I'm going to be completely honest with you guys, this slide didn't make much sense to me. I don't understand what on the graphmatica graph applies to what/which things he wrote. If anyone else understands, it would be great if you left a comment explaining it for us (or me at least)!

This slide basically explains that if a function is inverse, it will like like a "mirror image," persay on the vertical line y=x. It's a great test to see if the answer you came up with is correct.




The range is restricted to only quadrants one and four because of the equation we must follow (-90 degrees is less than/equal to "y" which is less than or equal to +90 degrees).

At this point, I'd say it's almost vital to have your unit circle close to memorized, or at least to be able to visualize it when doing problems such as these. The link posted below leads you to a site in which you can slowly learn/memorize the circle. It kind of works by process of elimination. You can even quiz yourself afterwords. I hope it helps you!

Remember the Unit Circle

Here is one small tid bit of information for you... Many of you may of heard my excitement in class about the "pretty calculator"; I really am quite excited for it. I tried a few functions with it too, and it runs fairly smoothly! Hope it's of use to you.

The "Pretty" Graphing Calculator

Enjoy watching basketball tomorrow!

Tuesday, February 10, 2009

Creation of a Unit Circle



Today was basically a work period. The first thing we learned today was how to draw a unit circle that would be useful in the test tomorrow. In the previous lesson we learned what a unit circle was and how we can apply it to problems that will show up throughout the course. Now with the chart we created, we can take our knowledge, put it into a diagram, and see it visually on a piece of paper. An image of what we had to draw is posted beneath. The second thing we did was start a chart that would represent all the special angles found throughout the unit circle. The best way to fill in the chart is too do it from the knowledge you have accumulated up to this point, rather than just copy out from the book. This diagram and chart, especially the unit circle, are important to the success of you the individual. These need to be known and memorized because the only time we will be supplied a copy during testing is tomorrow. The rest of the class was allotted to us to draw our diagrams and fill in our chart, and we could ask our teacher any questions we might have needed answered from previous lessons. There will be a test tomorrow, so study hard, go to sleep a little earlier, have a balanced breakfast in the morning, and most importantly show up on time for math class tomorrow. Good luck classmates!!

If you don’t get any of the materials studied in class or just need another explanation of a concept for any reason, I would highly suggest that you would stay after school for an hour of tutoring. You will not know how helpful it is until you experience it for yourself :)




The unit circle:


http://everobotics.org/projects/roboMagellan/img/UnitCircle.gif





The chart we created(similar except we did a whole circle. IE 360 degrees):

http://www.easycalculation.com/trigonometry/trigonometry-tables.php



Remember!!!

sine.................y-coordinate

cosine.............x-coordinate

tangent..........sin/cos or y/x

cosecant........1/y

secant............1/x

cotangent......x/y

Good Way to Remember the Unit Circle!

While I was trying to do my homework tonight, I found this video on You Tube and found it to be extremely helpful in understanding the concepts of the Unit Circle. The link is posted below. I also found this great site with math terms, using examples and everything! So that link is included as well. I hope this helps you guys as much as they have helped me.

How to Remember the Unit Circle

Math Vocabulary Explained!

Unit Circle Intro

This is a list of different websites that Mr. Max gave us.

The main reason that it is the unit circle is because the radius is equal to 1 unit. A positive circle goes counter clockwise, so therefore a negative circle would go clockwise.





Basically, this is the definitions of the primary trig. functions as well as the recripricles.

this is basically showing us how sin is the y value and the cos is the x value.

The way we find out the coordinates from a larger triangle is to set up a ratio. In using this you can find out what they will be.

An example of the types of questions we may encounter.

This is the video of the lesson Mr. Max taught.