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Integrated Math I
21. CC.HSF.IF.C.7
21.7 Sine graph: y = sin x
Sine graph: y = sin x
What You'll Learn
Identify key points on the unit circle and their coordinates
Recognize that y-coordinates on the unit circle represent sine values
Graph the sine function y = sin x using unit circle coordinates
Understand that sine is a periodic function that repeats every 2π
Calculate sine values at special angles like 0, π/2, π, and 3π/2
What You'll Practice
1
Finding sine values at key angles using the unit circle
2
Plotting points to graph y = sin x from -2π to 2π
3
Using special triangles to find sine values at angles like π/6
4
Identifying the period and repeated pattern of the sine curve
Why This Matters
Understanding the sine graph is fundamental for modeling periodic phenomena in physics, engineering, and natural sciences. From sound waves to seasonal cycles, sine functions describe repeating patterns you'll encounter throughout advanced math and real-world applications.
Before You Start — Make Sure You Can:
This Unit Includes
1 Video lesson
Practice exercises
Skills
Sine Function
Unit Circle
Graphing
Periodic Functions
Trigonometry
Coordinates
Special Angles
OH Curriculum Aligned