Extend trigonometric functions using unit circle

Start lessonBegins with Unit circle trig functions · Slides

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Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
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Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSF.TF.A.2

**HSF.TF.A.2**: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

HSF.TF.A.2: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

What you'll learn

Define sine and cosine as the y- and x-coordinates of a point on the unit circle corresponding to a given angle
Evaluate sine and cosine for angles in all four quadrants using the unit circle
Determine the signs of sine and cosine in each quadrant and explain why using coordinates
Extend the definitions to negative angles (clockwise rotation) and angles greater than 2pi
Find reference angles and use them to evaluate trigonometric functions for non-first-quadrant angles
Explain how the unit circle allows trigonometric functions to accept any real number as input

Review first:

Understand radian measure

Slides

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Unit circle trig functions

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Practice

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Exercise

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