Trigonometry · Dungeon crawler
The Clockwork Crypt
The astronomer sealed her star chart behind machines that only move for someone who can read their rhythms. Tune the crypt to reach it.
- 4 concepts
- 6 exercises
- About 5 minutes
- Before & after check
Built from the study material “Precalculus Ch. 4: Trigonometric Functions”. The lessons and exercises below come from that material. Upload your own notes to get a game like this one.
What you'll learn
Unit 1 · Angles and radians
Radian measure
The student can locate an angle in radians on the unit circle and convert between degrees and radians.
Unit 2 · Graphs of sine and cosine
Period of sin(bx) and cos(bx)
The student can compute the period of y = sin(bx) or cos(bx) and explain why a larger b shortens it.
Amplitude
The student can read the amplitude from an equation or graph and distinguish it from the peak-to-trough distance.
Unit 3 · Trigonometric equations
Solving sin(x) = k on [0, 2π)
The student can find every solution of a basic sine equation on one period.
Exercises
You'll meet these in order as you play. Each one uses the concept as the rule.
- Exercise 1LessonNot completed
The altar's rune line runs from 0 to 2π. Step onto 5π/6.
Radian measure
- Exercise 2LessonNot completed
The vault door's rings spin on y = sin(2t). Set the dial to one full period so the rings lock.
Period of sin(bx) and cos(bx)
- Exercise 3LessonNot completed
Three chests, three claims about amplitude. One is a mimic. Point your lantern at the lie.
Amplitude
- Exercise 4LessonNot completed
The glyph door opens only if its planks show how to solve 2sin(x) = 1 on [0, 2π). One plank doesn't belong.
Solving sin(x) = k on [0, 2π)
- Exercise 5ReviewNot completed
The treasury's chests remember the vault door. One of them is lying about periods.
Period of sin(bx) and cos(bx)
- Exercise 6ChallengeNot completed
The Warden's shield spins on y = 3sin((π/2)t). Match its period to break through, and don't let the big swing fool you.
Period of sin(bx) and cos(bx) · Amplitude