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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"Geometric Solution of a Trigonometric Equation"
http://demonstrations.wolfram.com/GeometricSolutionOfATrigonometricEquation/
Wolfram Demonstrations Project
Published: June 14 2017