Math
Unit 4
10th Grade
Lesson 15 of 19
Use the first quadrant of the unit circle to define sine, cosine, and tangent values outside the first quadrant.
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,
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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..
Lesson 14
Lesson 16
Topic A: Right Triangle Properties and Side-Length Relationships
Topic B: Right Triangle Trigonometry
Topic C: Applications of Right Triangle Trigonometry
Topic D: The Unit Circle
Topic E: Trigonometric Ratios in Non-Right Triangles