Unit 1
Unit 2
Unit 3
Mystery
SPT Trivia
100
Draw the first quadrant of the unit circle.
Label points, radians, degrees for all special angles
100
Find the exact value
cos^-1(sin((11pi)/6))
(2pi)/3
100
Write the parametric equations in rectangular form.
x=-t^2
y=1/2t
x=-4y^2
100
Your team automatically earns 100 plus 200 extra.
+300
100
What is Elizabeth's favorite mobile game?
Water color sort
200
Suppose that (x, 15/17) is a point in Quadrant II lying on the unit circle. Find x.
x=-8/17
200
Find the exact value
sec(tan^-1(u/6))
sqrt(36+u^2)/6
200
Consider a triangle ABC. Suppose that A=26°, C=115°, and a=41. Solve the triangle.
B=39°, b=58.9, c=94.9
200
Write as many digits of pi. (Team with most wins)
3.14159265358979323846264338327950288419716939937510
200
What game does Derzan have the most hours in?
CS:GO
300
A kite is flying 94 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 52°. Find the length of the string. Round your answer to the nearest tenth.
119.3 ft
300
Use a sum or difference formula to find the exact value
cos(pi/12)
(sqrt(6)+sqrt(2))/4
300
Convert the polar equation to rectangular
r=4/(8costheta+9sintheta
8x+9y=4
300
Finish the chorus
"When the sun shines, we'll shine together..."
Told you I'll be here forever
Said I'll always be your friend
Took an oath, I'ma stick it out to the end
Now that it's raining more than ever
Know that we'll still have each other
You can stand under my umbrella
You can stand under my umbrella, ella, ella, eh, eh, eh
300
What are Elizabeth's top 5 animated Disney movies? (order doesn't matter, closest team wins)
Tangled, Hercules, Lilo and Stitch 2, Big Hero 6, Mulan, Coco
400
Use a Pythagorean Identity to evaluate cot(β) if sin(β)=-2/3 and β lies in the fourth quadrant.
cot(β)=-(sqrt(5))/(2)
400
Find all solutions in the interval [0, 2pi)
2sin2theta-sqrt(2)=0
theta=pi/8,(3pi)/8, (9pi)/8, (11pi)/8
400
Find the angle between vectors <6,-2> and<5, 2>
40
400
Name three countries that start with F
France, Finland, Fiji
400
What name does Derzan use when he orders food?
(Joe, Mark, John, Bob, Jones, Will, Sam, Spencer, Adam)
Mark
500
Graph the function
y=2sin(x-pi)
500
Prove the identity.
(tanx-cotx)/(tanx+cotx)=sin^2x-cos^2x
500
An arrow is shot upward from the ground, with an initial velocity of 94 meters per second, at an angle of
61° with respect to the horizontal.
The horizontal distance x from the starting point and the height y above the ground of the arrow t seconds after it is shot are given by the parametric equations below.
What is the maximum height?
y=-4.9t^2+(v_0sintheta)t+h
x=(v_ocostheta)t
344.9 meters
500
A cyclist is riding a bicycle whose wheels have a diameter of 22 inches. Suppose he is traveling at 30 miles per hour. (A useful fact: 1 mi=5280ft.)
Find the angular speed in rad per min.
2880 radians per hour
500
What are Derzan and Elizabeth's birth months
Derzan - March
Elizabeth - June