Shaded Regions on the Unit Circle

Trigonometry · Axiom Academy

INTRO Shaded Regions on the Unit Circle Discover how trigonometric inequalities create intervals, not just points. See the solution regions come alive! As you move around the unit circle, watch how the sine value (the y-coordinate) changes. Move the slider to explore different angles! Let's find all angles where the sine equals exactly 1/2. There's more than one answer! Now let's explore sin(θ) > 1/2. This isn't just two points—it's an entire arc on the circle! Choose different inequalities to see how the shaded regions change. Each inequality creates a different interval!

This is the written version of the interactive lesson above. See the full Trigonometry course.