We started the class off with a quiz, which I personally thought was more challenging than the previous homework quizs. The problems that I had the most trouble with were 3. and 5. on the first page. I couldn't quite remember the whole of either concept, and without the full understanding of this concept, I was not able to correctly do the problem.
Fortunately, I still have enough time until the test to learn these concepts so that I will not make the same mistake twice.
After the quiz, Mr. O'Brien informed us through the blog that our work for the rest of the class was to a. get into small groups and go over the homework and b. to "Using Geogebra/Grapher/graphing calculator, sketch the graphs of the tangent, cotangent, secant, and cosecant graphs in your notebook (use graph paper and appropriate scales!)."
and then...
"Look at your your six trig function graphs, and determine the period, domain, range, and whether each is even/odd/neither."
On the homework, I had little trouble with the graphs, as for the most part, they could be done using the calculator. However common problems were found on the last of the homework, and that could be beneficial to go over as a class when Mr. O'Brien is back.
After going over the homework, Robin and I graphed the remaining four functions. They looked like this:
Tangent:
Domain: All real numbers except where x is a multiple of π/2 or if it is 0
Range:All real numbers
Cotangent:
Domain: All real numbers except where x is a multiple of π or 0
Range:All real numbers
Secant:
Domain: All real numbers except where x is a multiple of π/2 or 0
Range:All real numbers
Cosecant:
Domain: All real numbers except where x is a multiple of π or 0
Range:All real numbers
(Images courtesy of http://www.intmath.com/Trigonometric-graphs/4_Graphs-tangent-cotangent-secant-cosecant.php)
I think that the domain and the range MAY be correct, but i'm not 100% sure.
The class had a bit of a hard time interpreting the period and even/odd/neither. When you get back we'll probably need help with this. But it was interesting to see what the different graphs look like in comparison to sin/cos.
I personally forget how to determine even/odd/neither completely , and will need some reminders on this.
By the time we had finished domain and range, it was the end of class, and I had no time to review even, odd or neither and noone around me seemed to have a clear grasp or understanding of a period, so I could not work on that either. These would be good subjects to review in class on monday.
HW: The ical doesn't have the hw posted as of now, I'm sure that Mr. O'Brien will correct this when he sees this.
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