Geometric Solution of a Trigonometric Equation

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This Demonstration shows a geometric solution for the trigonometric equation for the unknown . Let be a right triangle with one leg and hypotenuse of length 1. Draw a circle with center the midpoint of and radius 1/2. Draw a ray through at an angle with respect to . The orthogonal projection of onto the ray has length . Let be a point of the circle such that . Then the solution is .

Contributed by: Izidor Hafner (June 2017)
Open content licensed under CC BY-NC-SA


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