Using the unit circle, we were able to map out different angle degrees and radians and their corresponding points, tangents, cotangents, sines, cosines, secant and cosecants.

With this information, we were able to actually graph the sine, cosine, tangent and cotangent of a unit circle. The graphs ended up looking like this:

y=sin(x)

y=cos(x)

Notice here that the cosine and sine functions are continuous and periodic, with a period of 2\pi. Notice also that they are almost identical except that the graph of the cosine is shifted to the left by \dfrac{\pi}{2}.

y=tan(x)

y=cot(x)

As you can see, both the cotangent and tangent of x are periodic, meaning the continually repeat in the same pattern, with a period (the length of the graph that repeats) of \pi.

I also wanted to see what the secant and cosecant would look like:

y=csc(x)

y=sec(x)

As you can see, these functions are also periodic with a period of 2\pi.

If you want to learn more on these graphs, I suggest going to this website: http://www.intmath.com/trigonometric-graphs/1-graphs-sine-cosine-amplitude.php. It has some great info.

I’m guessing we will learn more on this topic. It’s nice to get the review on trig, since I completely forgot most of what I learned in high school. It’s relatively straight forward, so I don’t have much left to say on the topic.

The test went well. I enjoyed having 2 days, I felt good when I finished each test half because I was able to review all of my work and take my time. I wasn’t as nervous this time, and I really felt like I nailed it. I guess we’ll see on Monday.

Hope you’re all enjoying your weekend!