Define angles in standard position and use them to build the first quadrant of the unit circle.
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Given a blank coordinate plane, draw a 45° angle with a vertex at the origin.
Suppose that point $$P$$ is the point on the unit circle obtained by rotating the initial ray 30°. Find $${\mathrm{sin}(30^\circ)}$$ and $${\mathrm{cos}(30^\circ)}$$.
Algebra II > Module 2 > Topic A > Lesson 4 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Each of the points in Quadrant I represent THE point of intersection of a ray that forms a 30° angle, a 45° angle, and a 60° angle with the $$x$$-axis in the initial position. What are the coordinate points where the rays intersect the circle at 30°, 45°, and 60°?
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..
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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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Draw an angle in standard position that has an intersection point on the unit circle of $${\left(\frac{1}{2},\frac{\sqrt3}{2}\right)}$$. What is the sine of this angle? The cosine?