Trig Unlocked
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Finally make trigonometry click

From your very first angle to the Law of Cosines, Trig Unlocked builds your understanding layer by layer — with clear explanations, real-world problems, and a proven exam strategy — so the "why" always comes before the "how."

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Trig Unlocked

"I never move to the 'how' until the 'why' is solid — because that's the only way anything actually sticks."

Tracy Burke

What you'll learn

What you'll be able to do

  • Define and apply sine, cosine, and tangent to solve right triangle problems with confidence
  • Navigate the unit circle fluently, connecting angles in degrees and radians to their exact values
  • Prove and apply core trigonometric identities to simplify expressions and solve equations
  • Graph all six trig functions and accurately describe their amplitude, period, phase shift, and asymptotes
  • Solve real-world problems in physics, engineering, and navigation using the Law of Sines and Law of Cosines
  • Tackle trig questions on SAT, ACT, and college placement exams with a reliable, repeatable problem-solving strategy

How it works

A school that adapts to you

This isn't a set of static videos. Every lesson is generated live and tuned to where you actually are.

We learn your level

A quick placement check tailors your starting point so you're never bored or lost.

Lessons adapt as you go

Each lesson is written for your pace and your goal, adjusting as your skills grow.

Your AI coach keeps you moving

Checkpoints, feedback, and gentle nudges turn progress into a real result.

The curriculum

What's inside your school

6 modules · 28 lessons

1

Angle Foundations & Right Triangle Trig

Builds the essential vocabulary of angles and introduces sine, cosine, and tangent through right triangles.

  • 1.1Angles, Rotation, and MeasurementIncluded
  • 1.2Degrees vs. RadiansIncluded
  • 1.3The Six Trig RatiosIncluded
  • 1.4Solving Right TrianglesIncluded
  • 1.5Special Right TrianglesIncluded
2

The Unit Circle

Extends trig beyond right triangles by anchoring angle values to the unit circle in all four quadrants.

  • 2.1Building the Unit CircleIncluded
  • 2.2Reference Angles and Quadrant SignsIncluded
  • 2.3Exact Values from the Unit CircleIncluded
  • 2.4Coterminal Angles and PeriodicityIncluded
3

Graphing Trig Functions

Develops a visual understanding of all six trig functions and how transformations reshape their graphs.

  • 3.1Graphing Sine and CosineIncluded
  • 3.2Amplitude, Period, and Phase ShiftIncluded
  • 3.3Graphing Tangent and CotangentIncluded
  • 3.4Graphing Secant and CosecantIncluded
4

Trigonometric Identities & Equations

Equips students to prove identities, simplify expressions, and solve trig equations analytically.

  • 4.1Pythagorean and Reciprocal IdentitiesIncluded
  • 4.2Quotient and Co-function IdentitiesIncluded
  • 4.3Sum and Difference FormulasIncluded
  • 4.4Double-Angle and Half-Angle FormulasIncluded
  • 4.5Solving Trigonometric EquationsIncluded
5

Law of Sines, Law of Cosines & Real-World Applications

Solves oblique triangles and applies trig to physics, engineering, and navigation scenarios.

  • 5.1Law of SinesIncluded
  • 5.2Law of CosinesIncluded
  • 5.3Area of a Triangle Using TrigIncluded
  • 5.4Applications in Navigation and PhysicsIncluded
  • 5.5Engineering and Surveying Word ProblemsIncluded
6

Exam Readiness & Problem-Solving Strategy

Builds the test-taking fluency and systematic strategy needed to perform confidently on SAT, ACT, and placement exams.

  • 6.1Trig on the SAT and ACT: What to ExpectIncluded
  • 6.2A Repeatable Problem-Solving FrameworkIncluded
  • 6.3High-Yield Practice: Right Triangles and the Unit CircleIncluded
  • 6.4High-Yield Practice: Identities, Graphs, and EquationsIncluded
  • 6.5Full Trig Review and Mock ExamIncluded

Who it's for

Is this you?

High school juniors & seniors

Taking precalc or trig for the first time and want to actually understand it, not just survive the next test.

Early college STEM students

Heading into calculus, physics, or engineering and need a rock-solid trig foundation before the material gets harder.

Adult learners returning to math

Re-entering school or pivoting to a STEM career after years away and need to rebuild trig from the ground up — without condescension.

SAT & ACT test preppers

Targeting a high math score and want structured, exam-specific trig practice with a proven problem-solving strategy.

Self-studiers & curious learners

Learning independently and want a complete, well-sequenced course instead of piecing together random videos and blog posts.

Gap fillers & re-learners

Passed trig years ago but retained almost nothing, and need a fresh, clear pass to fill the gaps before they become roadblocks.

Questions

Frequently asked

Your teacher

A note from your teacher

Tracy Burke

Tracy Burke

I know where you are right now — staring at a page full of sine waves and identity proofs, feeling like everyone else somehow got a manual you never received. Maybe you're a high schooler who nodded along in class but panicked on the last test. Maybe you're back in school after years away and trig is the wall standing between you and the STEM path you want. Maybe you've watched a dozen videos and still feel like the pieces won't quite snap together.

I built Trig Unlocked because I believe the problem almost never comes down to ability. It comes down to order and explanation. Most trig courses race to the formulas without ever answering the most important question: why does this work? When you don't know why, everything feels arbitrary — a pile of rules to memorize that vanish the moment the exam pressure hits. When you do know why, the whole subject becomes logical, connected, and — I promise — genuinely manageable.

Here's what that looks like in practice. We start with what an angle actually is and why mathematicians decided radians were worth inventing. We build the unit circle by hand so you understand its structure instead of just staring at a chart. We prove identities step by step, and I show you the reasoning moves that make every proof feel less like a magic trick and more like a sensible argument. We graph functions by thinking about what the parameters mean, not by plugging points blindly. And then we take all of it into the real world — navigation, physics, engineering — so you can see trig doing actual work, not just sitting on a worksheet.

The course wraps up with the most practical unit I know how to teach: a full exam-readiness section built around the SAT, ACT, and college placement tests. You'll have a repeatable framework, targeted practice on every high-yield topic, and a complete mock exam. Not to trick the test — but because genuine understanding, organized and applied with a clear strategy, is the most reliable thing you can walk into a testing room with.

You don't need to be a "math person." You just need a patient guide who meets you where you are, explains things clearly, and doesn't move on until it makes sense. That's exactly what I've built here. Come learn trig with me — for real this time.

Tracy Burke

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  • 6 modules, 28 lessons
  • AI-adaptive lessons tuned to your level
  • Quizzes & checkpoints to lock in progress
  • Your own AI learning coach
  • Learn on any device, at your pace
  • Full access for as long as you're subscribed