Waves
Find the amplitude of the function y=17cos(6x)
17
Which function relates the opposite and adjacent sides of a right triangle?
tan
A 20 ft ladder leans against the side of a house. If the base of the ladder is 12 ft from the house, how high is the top rung of the ladder?
(Instead of being awarded points, you may steal them from another team)
16 ft
Find the amplitude of the function y=-6cos(8x)+3
6
Which 2 sides does the cos function relate on a right triangle?
adj hyp
A 20 ft ladder leans against the side of a house. If the base of the ladder is 5 ft from the house, find the ladder's angle of elevation in degrees.
76 degrees
Find the period of the function y=6sin(4x)
(Instead of being awarded points, you may steal them from another team)
pi/2
The unit circle provides sin and cos values of angles. How can we use it to find tan values of angles?
tan=sin/cos
While out for a flight, a hawk sees a mouse in a field. If the hawk is 60 ft in the air and his angle of depression is 45 degrees, how far will the hawk need to travel to reach the mouse?
85 ft
A yoyo oscillates up and down a string. If the yoyo moves between 2 ft above the ground and 3 ft above the ground, find the amplitude of the yoyo's path.
1/2
Using the unit circle, justify why the tan function is undefined at 90 degrees.
cos(90)=0 Since tan=sin/cos, you would be dividing by zero.
A drawbridge is 40 ft long and is stuck open with an angle of elevation of 30 degrees. How high above the main road is the tip of the bridge?
20 ft
Why don't we use amplitude to describe a tan line?
Tan has no upper or lower bound. Amplitude has no meaning for tan.
In what 2 quadrants of the unit circle are tan values positive?
I, III
Why solving these types of problems for multiple values, why is a good idea to use the given information whenever possible?
Estimates compound errors