Sinusoidal Functions
Degrees and Radians
SOH-CAH-TOA
Real Life Applications
The Man, The Myth, The Legend
100
http://graphsketch.com/?eqn1_color=1&eqn1_eqn=0%2B5cos(pi%2F3(x-2))&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-2&x_max=8&y_min=-10.5&y_max=10.5&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525
What does the graph of: y=0-5cos(pi/3(x+1)) y=0+5cos(pi/3(x-2)) y=0-5cos(pi/3(x-5)) look like?
100
The conversion is 2 Pi
What is the radian equivalent of 360 degrees?
100
It is the Sin of 3Pi/4
What is Root 2/2?
100
The high point of a roller coaster is 27 meters, the low point is -3 meters. The high and low point are separated by 50 meters. The equation of this graph is y=12+15cos(Pi/50(x))
http://graphsketch.com/?eqn1_color=1&eqn1_eqn=12%2B15cos(Pi%2F50(x))&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-5&x_max=110&y_min=-5&y_max=40&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525
100
The day is January 23rd.
What is Mr. Rusaw's Birthday?
200
http://graphsketch.com/?eqn1_color=1&eqn1_eqn=2%2B5sin(2pi%2F3(x))&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-1&x_max=2&y_min=-8&y_max=8&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525 Note:Period=3
What does a sin graph of y=2+5sin(120(x)) y=2+5sin(120(x-1 and 1/2)) look like?
200
The conversion is 60 Degrees
What is the degrees equivalent of Pi/3?
200
It is the Cos of 210 degrees
What is -Root 3/2
200
An electrical current carrying 50 Mw travels from a power plant, to a house, and back in 5 minutes. When t=2 it is at the power plant, and when t=7, it is at the house. This is the equation
What is y=25+25cos(2pi/5(x-2))
200
It is a Italian cuisine and the favorite of many Americans, including Mr. Rusaw
What is pizza?
300
The equation of this graph is y=-1+5cos(pi/6(x-1))
http://graphsketch.com/?eqn1_color=1&eqn1_eqn=-1%2B5cos(pi%2F6(x-1))&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-1&x_max=10&y_min=-8&y_max=8&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525
300
The conversion is 3 Pi/4
What is the radian equivalent of 135 degrees?
300
It is the Tan of 9 Pi/4
What is 1?
300
An electrical current carrying 50 Mw travels from a power plant, to a house, and back in 5 minutes. When t=2 it is at the power plant, and when t=7, it is at the house. This is the graph
What is http://graphsketch.com/?eqn1_color=1&eqn1_eqn=25%2B25cos(2pi%2F5(x-2))&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-5&x_max=10&y_min=-5&y_max=60&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525
300
Located in Clackamas County, and named after the river it is nearby, this city is Mr. Rusaw's hometown
What is Sandy, Oregon?
400
The equation of this graph is y=2+3sin(5pi/6(x))
http://graphsketch.com/?eqn1_color=1&eqn1_eqn=2%2B3sin(5pi%2F6(x))&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-1&x_max=16&y_min=-2&y_max=6&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525
400
The conversion is 240 degrees
What is degrees equivalent of 4 Pi/3?
400
It is the Csc of 7 Pi/6
What is -2
400
A weight on a spring has a maximum height of 12 meters. At rest position, it is at 2 meters. It takes 10 seconds to go from it's maximum height to rest. This is the equation.
What is y=7+5cos(Pi/10(x))
400
This NFL AFC East team was the only team to ever have a completely perfect season including the Super Bowl, and is Mr. Rusaw's favorite sports team
What is the Miami Dolphins?
500
The equation of this graph is y=1+5cos(5pi/4(x-1))
http://graphsketch.com/?eqn1_color=1&eqn1_eqn=1%2B5cos(5pi%2F4(x-1))&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=0&x_max=10&y_min=-8&y_max=8&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525
500
The conversion is 330 degrees
What is the degrees equivalent of 11 Pi/6
500
It is the Cot of 4 Pi
What is Undefined?
500
At midnight, 5 bajillion legos/sec are produced. It gradually increases until it's production is doubled at noon. After noon, the rate gradually decreases until it is back at the original rate at midnight the next day. Assuming that the factory never closes, these are the 2 times in a single day the lego production would be at 7 bajillion
What is 5:23 and 6:37
500
It is located in Newberg, Oregon, and is a Christian University of liberal arts and sciences. Mr. Rusaw graduated from this college in 1994
What is George Fox University?
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