Sine, Cosine, and Tangent on the Unit Circle
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Objective
I can determine the sine, cosine, and tangent of angles using the unit circle.
Part 1 of 4
Warm-up video
Professor Dave Explains · 9:48Vetted channel
We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The unit circle is a circle with a radius of one, centered at the origin on the coordinate plane.
- 2
Every point on the unit circle has an X coordinate equal to cosine theta and a Y coordinate equal to sine theta.
- 3
The numerical sequence to remember for sine and cosine values in the first quadrant is root zero over two, root one over two, root two over two, root three over two, and root four over two.
Part 3 of 4
Practice
8 questions
What are the coordinates of the point on the unit circle corresponding to an angle of π?
Explain how the unit circle simplifies the calculation of trigonometric functions for angles like 0, π/2, π, and 3π/2.
Part 4 of 4
Exit ticket
Quick comprehension check
“What are the sine, cosine, and tangent of π/4 using the unit circle?”
Sample answer included in the free materials
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Teacher Guide
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