Graphing Trigonometric Functions

On Thursday, Feb.21st The class was started by a mental math, Followed by the test written the previous day being handed back with the answer key. With many moans in the air after seeing the test results Mr. Maksymchuck quickly moved on to cover the next lesson, Graphing Functions. Also An important reminder from now on.....RADIANS ARE NOW THE DEFAULT FOR GRAPHS.

Next came Reference Curves with a " how-to" lesson in putting the six trig functions into a calculator or other technological device as shown by the image below. Sec and cot are done like csc meaning sec is (y= 1/cos theta) and cot is (y= 1/tan theta). The definition of Asymptote given on the slide below is also very important to know


Then was a bit Review with the definitions of Domain( the values that x can be) and Range ( the values that y can be)

Next was the actual graphing of the functions on graphmatica and ow it can relate to the unit circle i.e Y=sin(x) is greatest at π/2 on the graph and is positive up until π, which is equivalent to quadrants I and II on the unit circle. The image below was handed out in class and has all he functions on the same graph.


The parabola's are formed by the csc and sec graph's and they touch the greatest value of there corresponding function i.e sec touches sin's greatest values. Also the mostly vertical lines are the remaining function tan and cot with tan being the lines bending to the right going from bottom to top and cot being a mirror image of tan.

Then the class was then introduced /reminded of definitions and formulas for them which are on the slides below. Then at the end of class we were assigned questions 1-15 on exercise 5 and 1-16 on exercise 6. The image to the side was also handed out.