Mathematics, 20.10.2020 23:01, alexandria3498
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t),sin(t)) . Assume 0 < t < Ο/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.)
The identity
sin(2t)=2sin(t)cost(t)
might be useful in some parts of this question.
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