Pre-Calc Jeopardy!

Trig Idenitites

100

1/sinθ = ?

cscθ

200

1/cotθ = ?

tanθ

300

cotθ = ?

*quotient identity

cosθ/sinθ

400

1 + cot²θ = ?

csc²θ

500

1 - sin²θ = ?

cos²θ

Unit Circle

100

sin (150°)

 1/2 or .5

200

cos(-60°)

1/2 or .5

300

sin(1350°)

-1

400

tan(- 3π/4)

1

500

tan(- 29π/4)

-1

Trig Function Graphs

100

amplitude for y = -2sin(x/2) + 1

2

200

period length of y = 3cos(x/4)

8π

300

period length for y = 4tan(1/3(x - π))

3π

400

maximum point for y = 4sin(3x) - 9

-5

500

phase shift for y = 2csc(-x/2 - 2π)

*give direction too

left 4π

Angles

100

give the reference angle for 45°

45°

200

give the smallest positive angle that is coterminal with 855°

135°

300

which quadrant does the angle 1290° fall in?

Q₃

400

Give the reference angle for 7π/6

π/6

500

Give the reference angle for -13π/4

π/4

Riddles

100

If there are 4 apples in a basket and you take away 3, how many apples do you have?

3, the ones you took from the basket.

200

If a couple has 4 daughters, and each of their daughters has a brother, how many kids do they have?

5 kids, 4 daughters who all have the same brother

300

In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?

47 days. 

400

What needs to be broken before it can be used?

An Egg

500

You're cooking 3 steaks for dinner. They each need to cook for 10 minutes, 5 on each side. If your pan can only fit two steaks at a time, what is the shortest amount of time you could cook all three steaks in. 

15 minutes.