Unwound

Each puzzle names a target trig value, like the angle whose sine equals a given radical. Drag to aim a ray on the construction grid; it snaps to the special angles. A live unit circle shows the exact sine and cosine of your current angle. Land on the angle that produces the target value to solve it.

• Aim the ray and let it snap to special angles (0, 30, 45, 60, 90, 120, 135, 150, 180)
• Read the exact sine and cosine on the unit circle readout
• Match the angle whose exact value equals the stated target
• Solve faster and in fewer attempts for a higher score

• Daily: a fixed puzzle shared each day
• Practice: fresh randomized puzzles

• Desktop: drag on the grid to aim, or use the Left and Right arrow keys to step between special angles
• Phone & tablet: drag on the grid to swing the ray to a special angle

• Memorize the half, root-two-over-two, and root-three-over-two values, most targets map straight to a special angle
• Use the cosine and sine legs on the unit circle to confirm which quadrant your target sits in before committing

Unwound connects angle construction to the unit circle, making trigonometry tangible.

• Skills: the unit circle, angles, trigonometry
• Best for: roughly grades 10–12 (ages 15+)
• For parents & teachers: angles and the unit circle.

Aiming a ray that snaps to the special angles to find where a trigonometric function takes a given value is the unit circle used as a lookup.

Working from the value back to the angle is the original inversion.

That direction is where the ambiguity lives. A sine value corresponds to two angles in a full turn, so the inverse function has to choose a range — which is why arcsin returns what it does, and why solving a trigonometric equation means finding a family of answers rather than one.

Unwound is an original free browser math game that connects angle construction to the unit circle, making the exact trigonometric values click through hands-on aiming.

A free, original browser game on PlayPendium. No download, no install.