Unit circle review
Answers in context
Current events
100
A wave function is created by plotting the heights of points on a circle with a radius of 5. What is the amplitude of the resulting wave function?
5
y = 5sin(x) + d
100
Alex starts his graph on June 21. What does x = 30 mean in context?
30 days after June 21, or July 21
100
Memorial Day is considered the unofficial start of which season?
Summer
200
A wave function is created by plotting the heights of points on a circle centered at (0, 10). What is the midline of the resulting wave function?
10
y = a*sin(x) + 10
200
Brandon calculated his midline to be 12.125. What does this number mean in context?
Average or mean of the maximum daylight hours and the minimum daylight hours
200
Researchers reported in May 2026 that global fire outbreaks had already burned more than 150 million hectares of land this year, partly driven by which long-term environmental phenomenon?
Climate change
300
Write a degree/x value that gives you sin(x) = 0.866.
sin^-1(0.866)~~60
x = 60
x = 120
(and many other possible responses!)
300
After plugging in x = 50 into her equation, Chaia got y = 12. What does this answer mean in context?
Day 50 in Chaia's location has 12 hours of daylight.
300
How many games are played in a NBA playoff series?
7
400
Write two degree/x values that give you sin(x) = -0.707.
sin^-1(-0.707)~~-45
270 - 45 = 225
x = -45, x = 225
(and many other possible responses!)
400
Delilah calculated her phase shift to be c = -91. What does this value mean in context?
The spring equinox in Delilah's location occurs 91 days after her starting date.
400
At a May 2026 summit in Beijing, these leaders of these two countries jointly criticized U.S. foreign policy and strengthened cooperation between their countries.
Russia and China
500
Write two degree/x values that give you sin(x) = 0.25.
sin^-1(0.25)~~14.478
180-14.478=165.522
x = 14.478, 165.522
(and many other possible x values!)
500
Edoardo plotted the point (0, 15.1) on his graph. What does this point mean in context?
Day 0 in Edoardo's location has 15.1 hours of daylight.
500
Which international organization warned in May 2026 that global oil supply could fall below demand because of conflict involving Iran?
International Energy Agency