Friday, May 9, 2014

Spinning The Unit Circle (Evaluating Trig Functions )

If you’ve ever taken a ferris wheel ride then you know about periodic motion, you go up and down over and over again.  The height of the seat is a periodic function of time; it rises and falls in a smooth, repeating manner.   Trigonometric functions can be defined in terms of the unit circle, the circle of radius one centered at the origin.  Sine and cosine are periodic functions with period 2π.  For angles greater than 2π or less than −2π, simply continue to rotate around the circle, just like the ferris wheel.

Evaluating trigonometric functions is all about knowing the unit circle (It is strongly recommended to memorize the trivial angles).

Let’s see how it works, here’s an example using a simple manipulation (click here):

Here’s an example using the periodic property (click here):

Here’s an example using trigonometric identity (click here):

Evaluating trigonometric equations might be somewhat tricky at first, but with practice you will use the same techniques over and over again…



  1. what does this mean erf mean in your integration calculator answers? Please email answer or post it here

    1. Hi Titus,

      It refers so the error function:

      Hope this helps,


  2. You will find more information at this blog in related articles, guys. Check it out!

  3. It's nice to read about this technique. I will try it out later.

  4. Spotify Premium APK is one online music streaming application where you can easily interact with all the songs that are existing in the music industry.
    Spotify Premium
    Spotify Premium APK
    spotify premium apk ios
    spotify downloader apk
    spotify premium download

  5. We are the best writing company providing Nursing Essay Help of the highest quality. Our articles are appropriately formatted and referenced Top Paper Writing Services under institutional or professor’s guidelines.

  6. That's good content. It's so amazing abcya

  7. I would rather do twice more abstract for research paper examples than do the math and other exel exercises. Math is definitely not my favourite subject.

  8. fast social follower will provide you the best social media services such as Buy linkedin connections , Best Place To Buy Linkedin Connections .

  9. There are certainly a lot of details like that to take into consideration. That is a great point to bring up. I offer the thoughts above as general inspiration but clearly there are questions like the one you bring up where the most important thing will be working in honest good faith. I don?t know if best practices have emerged around things like that, but I am sure that your job is clearly identified as a fair game. Both boys and girls feel the impact of just a moment’s pleasure, for the rest of their lives.

  10. To troubleshoot problems while changing your linksys router password follow the link.

  11. print color or black white test pages is the best place to troubleshoot your printer that too without downloading any software. So do visit the website print test page