AP Pre-Calculus Jeopardy

Unit Circle

100

210 in exact radian measure

What is 7pi/6?

200

Exact value of sin(5pi/3)

What is -(√3)/2?

300

Quadrant where tan(θ)>0 and cos(θ)<0

What is Quadrant III?

400

Exact (x,y) coordinates of the point on the unit circle at an angle of θ=3pi/4

What is (-√2/2, √2/2)?

500

When tan(θ)=-(√3)/3

What is 5pi/6 + (pi)k, for k an integer?

Sinusoidal Functions

100

Period of a tan(x) function

What is pi?

200

Amplitude of a sinusoidal function with a max at 45 and a minimum 15

What is 15?

300

Period of 16tan(8(x+329))+8

What is pi/8?

400

Value of c when the graph of 4sin(2(θ+c))+4 starts at its max

What is pi/4?

500

This cosine function has a maximum value of 10, a minimum value of 2, a period of pi/2, and a phase shift of pi/4 units to the left

What is 4cos(4(x+pi/4))+6?

Trigonometry Identities

100

Simplified version of sin(θ)/tan(θ)

What is cos(θ)?

200

Simplified version of sin²(x)+cos²(x)+tan²(x)

What is sec²(x)?

300

Simplified version of sin(x)sec(x)cot(x)

What is 1?

400

8sin(x)cos(x) as a single trigonometric term

What is 4sin(2x)?

500

Simplified version of 1/(1-sin(x)) + 1/(1+sin(x))

What is 2sec²(x)?

Inverse & Logarithms

100

Range of arctan

What is (-pi/2, pi/2)?

200

Exact value of arcsin(-1/2)

What is -pi/6?

300

Simplified version of cos^-1(cos(3pi))

What is pi?

400

Simplified value of e^3ln(2)

What is 8?

500

Exact value of x that satisfies the equation log₃(x)+log₃(x-8)=2

What is 9?

Polar Functions

100

Amount of petals in 4sin(6θ)

What is 12?

200

Limacon type of r=4-3cos(θ)

What is a dimpled limacon?

300

The maximum distance from the origin reached by the graph of r=4-3sin(θ)

What is 7?

400

Inner loop radius of 1+17cos(θ)

What is 16?

500

Quadrant where the graph of r=-5+4sin(θ) appears from pi/2 to pi

What is Quadrant IV?