AP Math Pi Day Jeopardy

Trig Identities

100

Simplify as a single trig function:

(cos²x) / (sin²x + cos²x) 

cos²x

200

Simplify as a single trig function: 

(1-sin²x) / (sin²x cos²x)

csc²x

300

Simplify as a single trig identity:

(cos²x - 1) / (sin²x + cos²x)

-sin²x

400

Simplify as a single trig function:

(sec²x -1) / (cot x)

tan³x

500

(csc x / sin x) - (cot x / tan x)

1

Exact Trig Values

100

Find the exact value of: tan(pi/4)

1

200

Find the exact value of: cos(-pi/6)

sqrt(3)/2

300

Find the exact value of: tan(5pi/3)

-sqrt(3)

400

Find the exact value of: csc(13pi/6)

2

500

Find the exact value of: sec(49pi/3)

2

Solving Trig Equations

100

Solve for all values within [0, 2pi]

2 sinx = sqrt(2)

pi/4 and 3pi/4

200

Solve for all values within [0, 2pi]

cscx - 1 = 0

pi/2

300

Solve for all values within [0, 2pi]

2sin(1/2x) = sqrt(2)

pi/2 and 3pi/2

400

Solve for all values within [0, 2pi]

2cos²x + cosx =0

pi/2, 3pi/2, 2pi/3, 4pi/3

500

Solve for all solutions within [0, 2pi]

4cos²x + 2cosx -6 =0

x = 0 radians

Pi Puns

100

This is what you call a mathematician that takes over a ship.

What is a pi-rate

200

This is what a mathematician needs to fly his plane.

What is a Pi-lot's license

300

This is why all the other numbers refused to converse with pi at the party.

Becuase pi goes on forever and ever

(also acceptable- because pi is irrational)

400

This is math's favorite snake.

What is a Pi-thon

500

Why shouldn't you eat too much pi?

You'll end up with a big circumference!