Sine and Cosine Rules
by Anonymous
See how the circumcircle’s diameter stays the same as the angles change, then use the included angle to find the missing side.
#math#trigonometry#lawofsines#highschool#lawofcosines#triangle#mathpractice#highschool_math#education
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About this app
An interactive geometry lesson for exploring the Law of Sines, the Law of Cosines, and the conditions that determine a triangle. Adjust angles and side lengths with step controls, observe the triangle and circumcircle diagrams, and complete guided missions covering equal sine ratios, the diameter of the circumcircle, the Pythagorean theorem, and SSA ambiguity.
Use cases
- High school students studying triangle trigonometry
- Teachers demonstrating sine and cosine laws visually
- Learners practicing how angles affect opposite sides
- Students exploring when triangle data gives one, two, or no solutions
Features
- Interactive Law of Sines panel with adjustable angles A and B
- Visualizes the constant ratios a/sin A, b/sin B, and c/sin C
- Interactive Law of Cosines panel with an adjustable included angle C
- Shows the right-angle case as the Pythagorean theorem and compares acute and obtuse angles
- Triangle determination activities for SSS, SAS, ASA, and SSA conditions
- Guided missions with reset and next controls