Trigonometry on the circle
Radians, the circle, notable arcs in the four quadrants, identities and waves
The Trigonometry on the circle unit belongs to the Functions and polynomials section of Math Mental and has 25 lessons: radians, the circle, notable arcs in the four quadrants, identities and waves.
Lessons in this unit
- From degrees to radians
- From radians to degrees
- Radians as a decimal
- Length of an arc
- Quadrant of an arc
- Coterminal arc
- Sign in each quadrant
- Sine on the circle
- Cosine on the circle
- Tangent on the circle
- Values on the axes
- Reduction from the second quadrant
- Reduction from the third quadrant
- Reduction from the fourth quadrant
- Fundamental relation
- Tangent as a quotient
- Equation with sine
- Equation with cosine
- Amplitude
- Period
- Largest value of the wave
- Harbour tide
- Ferris wheel
- Unit review
- Unit trophy
How to work through this unit
Follow the lesson order
The unit has 25 lessons of increasing difficulty. Finish one before moving on: the early techniques come back in the later questions.
Solve it before reading the solution
Work every question out on your own, then read the step by step and check the reason for each step instead of only comparing the final answer.
Lock it in during review
The question types you miss come back in practice and review until you get them right in a row. The unit test confirms the whole unit stuck.
Frequently asked questions about this unit
What does the Trigonometry on the circle unit cover?
Trigonometry on the circle belongs to the Functions and polynomials section and has 25 lessons: radians, the circle, notable arcs in the four quadrants, identities and waves. The lessons start with the basic cases and build up to applications, always with a step-by-step solution.
What should I know before studying Trigonometry on the circle?
This page names the previous unit on the path. If it is not solid yet, go back and practice first; if there is no prerequisite, this is where the path begins.
How long does Trigonometry on the circle take?
Each lesson takes a few minutes. Most students do one or two a day and finish a unit in one or two weeks. The goal is answering correctly day after day, not clearing everything at once.
Are the Trigonometry on the circle exercises free?
Yes. Every Math Mental lesson is free and ad-free; you only need an account to save your progress.
Your first lesson takes five minutes
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