Constructing Trig Functions
Inverses
Tangents and Phase Shift
Off Topic
100
Cam is riding a Ferris wheel that has a radius of 12 meters, with the center of the wheel
14 meters off the ground. Starting at the 3 o’clock position and traveling counterclockwise, state his horizontal position from the center of the wheel in radians if he has traveled around an angle of 
Cos (
100
What is the Range of arccos (x)?
[0,pi]
100
The slope of the terminal ray is what trig function?
Tangent
100
In the song frosty the snowman what made frosty come to life?
His Hat
200
Cam is riding a Ferris wheel that has a radius of 12 meters, with the center of the wheel
14 meters off the ground. Starting at the 3 o’clock position and traveling counterclockwise, state his vertical position from the center of the wheel in radians if he has traveled around an angle of
Sin(
200
What is the range of arcsin?
[-pi/2 , pi/2]
200
What is the phase shift between sin and cos?
pi/2
200
One of Santa's reindeer shares a name with a famous symbol for valentines day, what reindeer is it?
Cupid
300
Cam is riding a Ferris wheel that has a radius of 12 meters, with the center of the wheel
14 meters off the ground. Starting at the 3 o’clock position and traveling counterclockwise, state his vertical position from the center of the wheel in meters if he has traveled around an angle of
12 sin (
300
what is the range of arctan (x)
(-pi/2 , pi/2)
300
What direction does the shift move the graph?
f(x) = 2 cos (3x-pi)
To the right
300
Who won the 2023 Fifa Women's world cup?
Spain
400
Cam is riding a Ferris wheel that has a radius of 12 meters, with the center of the wheel
14 meters off the ground. Starting at the 3 o’clock position and traveling counterclockwise, state his vertical position from the center of the wheel in meters if he has traveled around for t seconds, at a speed of .6 radians per second, with the radius of the wheel being 12 meters.
12 sin (0.6t)
400
Solve for x:
sin (x) = 0.6
0.64 or 2.5
400
What direction does the shift move the graph?
f(x) = 2 cos (3x+pi)
to the left
400
What is the capital of Canada?
Ottawa
500
Cam is riding a Ferris wheel that has a radius of 12 meters, with the center of the wheel
14 meters off the ground. Starting at the 6 o’clock position and traveling counterclockwise, state his vertical position from the ground in meters if he has traveled around for t seconds, at a speed of .6 radians per second, with the radius of the wheel being 12 meters and the center of the wheel being 14 meters off the ground.
12 sin (0.6t - (pi/2)) +14
500
Solve for x:
2cos (x)= 1
0.52 or 2.62
500
Starting at the 10 o'clock position is what phase shift?
+5pi/6
500
What word for the christmas season derives from an ancient Germanic pagan holiday?
Yuletide or Yule