Warm-Up. Draw the Unit Circle on a sheet of paper and label ALL the parts. DO NOT LOOK AT YOUR NOTES . So far, in our study of trigonometric functions we have: defined all of them learned how to evaluate them
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Draw the Unit Circle on a sheet of paper and label ALL the parts.
DO NOT LOOK AT YOUR NOTES
defined all of them
learned how to evaluate them
used them on the unit circleSo logically, the next step would be to study the graphs of the functions.
LG 2-1 Graphing Trig Functions (Quiz 9/6
LG 2-2 Circular Functions (Quiz 9/10)
LG 2-3 Evaluating Inverse Trig Functions (Quiz 9/12)
LG 2-4 Graphing Inverse Trig Functions (Quiz 9/14)
Scientists are continually monitoring the average temperatures across the globe to determine if Earth is experiencing Climate Change (Global Warming!).
One statistic scientists use to describe the climate of an area is average temperature. The average temperature of a region is the mean of its average high and low temperatures.
A function that repeats itself in regular intervals, or periods, is called periodic.
a. If you were to continue the temperature graph, what would you consider its interval, or period, to be?
b. Choose either the high or low average temperatures and sketch the graph for three intervals, or periods.
Whenever you have to draw a graph of an unfamiliar function, you must do it by point-wise plotting, or calculate and plot enough points to detect a pattern. Then you connect the points with a smooth curve or line.
Objective: Discover by point-wise plotting what the graphs of the six trig functions look like.
Homework: Finish the characteristics table and do the discovery task
Sinusoid – a graph of a sine or cosine function
“sinus” coming from the same origin as “sine,” and “– oid” being a suffix meaning “like.”
Sine and Cosine functions can be used to model average temperatures for cities. Based on what you learned about these graphs, why do you think these functions are more appropriate than a cubic function? Or an exponential function?