Use the first quadrant of the unit circle to define sine, cosine, and tangent values outside the first quadrant.
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Given a 30° angle on the unit circle,
a) Find the coordinate point of this angle.
b) Reflect this point over the y-axis.
How is $${-\mathrm{sin}(45^\circ)}$$ different from $${\mathrm{sin}(-45^\circ)}$$? Use your unit circle to help determine this.
Given a 60° angle on the unit circle,
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Below is a unit circle. The points marked on the circle represent the intersection of the terminal sides of the reference angles of 30°, 45°, and 60°. Write the coordinates for all of the marked points around the unit circle.
Unit Circle with Reference Triangles by Match Foundation, Inc. is made available by Desmos. Copyright © 2017 Desmos, Inc. Accessed March 13, 2017, 4:27 p.m..