Trigonometric Geometry and Angle Measures
Unit Circle and Definitions
Sinusoidal Functions and Equations
Sinusoidal Models
Random Trivia
100

If there is a right triangle with a leg having a length of 10 cm and a hypotenuse of 26 cm, then this is the length of the final leg.

What is 24 cm?

100

This is the definition of a circle.

What is the set of all points on a plane equidistant to the center?

100

This is the name of a horizontal translation of the parent function for a sinusoidal function.

What is a phase shift?

100

If the height, in feet, over time, in minutes, of a car on a Ferris Wheel is modeled by the equation:
h(t) = -50 cos(52.6t)+52,
this is the height of the car after 100 seconds.

What is 90.3 minutes?

100

This is why the element Krypton does not form many chemical compounds.

What is because it is a Noble Gas?

200

If the hypotenuse of a right triangle is 18 cm and the other side adjacent to a θo angle is 12 cm, this is the value of θ.

What is 48.2?

200

This is the definition of radian as an angle measurement.

What is the ratio between the arc length and the radius?

200
If the coefficient of frequency for a sinusoidal model is 150, this is its wavelength.

What is 2.4?

200

If the height of the water, in feet, in a harbor based on hours in the day, starting at midnight, is modeled by the equation
h(t) = 20 cos(30t) + 5,
this is the time when the height first becomes 20 feet.

What is 3:29am?

200

This is the person who voiced Vesper Fairchild in the CW show Batwoman.

Who is Rachel Maddow?

300

If the bearing of B from A is 142o, then this is the bearing of A from B.

What is 322o?

300

This is the slope of the radius formed θo from the positive x-axis on the unit circle in terms of θ.

What is tan(θo)?

300

This is y = 5 sin(3x) + 2, using degrees, written as a cosine function.

What is y = 5 cos(3x - 90) + 2?

What is y = 5 cos(3x + 270) + 2?   

What is y = -5 cos(3x + 90) + 2? 

What is y = -5 cos(3x - 270) + 2?

300

If the height, in feet, over time, in minutes, of a car on a Ferris Wheel is modeled by the equation:
h(t) = 40 sin(40t - 90)+41,
this is the total circular distance car travels after 13.25 minutes.

What is 188.5 feet?

300

This is the show from which the sound that plays when opening Netflix comes.

What is House of Cards?

400

This is 11π/15 radians converted into degrees.

What is 132o?

400

This is the exact value of cos(870o).

What is -√3 / 2?

400

Assuming 0o ≤ x ≤ 90o, these are the solutions to: 

-5 sin(5x + 60) + 3 = 4

What are 26.3 and 57.69?

400

If the tire of a car, with a radius of 10 in, is rotating at a constant speed, making two entire rotations every second, and runs over a nail that gets fully lodged in the tire, this is how long it will take after running over the nail for its base to first reach a height of 16 in high.

What is 0.176 s?

400
This was the year of the first performance of Tchaikovsky's 1812 Overture.

What is 1882?

500

If a triangle contains angles π/12 radians and 4π/5 radians, this is the third angle.

What is 7π/60 radians? 

What is 0.367 radians?

What is 21o?

500

This is what happens to the sine function formed from the y-coordinates as you move along a circle when you quadruple the radius of the circle.

What is the amplitude will quadruple?

500

Assuming 0o ≤ x ≤ 90o, this is the solution to: 

5 cos(3x - 40) + 27 = 30

What is 31.04o?

500

If the height, in feet, over time, in minutes, of a car on a Ferris Wheel is modeled by the equation:
h(t) = 60 sin(72t - 90)+62,
this is the circular speed, in ft/min, around the Ferris Wheel that car is traveling.

What is 75.4 ft/min?

500

This is the smallest integer that is a double, a square, a triple, and a cube, each from integers.

What is 46,656?