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Unit: Trigonometric functions

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Unit circle introduction

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Unit circle
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The trig functions & right triangle trig ratios
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Trig unit circle review
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Unit circleGet 3 of 4 questions to level up!

Radians

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Intro to radians
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Radians & degrees
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Degrees to radians
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Radians to degrees
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Radian angles & quadrants
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Practice
Radians & degreesGet 3 of 4 questions to level up!
Unit circle (with radians)Get 3 of 4 questions to level up!

The Pythagorean identity

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Proof of the Pythagorean trig identity
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Using the Pythagorean trig identity
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Pythagorean identity review
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Practice
Use the Pythagorean identityGet 3 of 4 questions to level up!

Trigonometric values of special angles

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Trig values of special angles
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Trig values of special anglesGet 3 of 4 questions to level up!

Quiz 1

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Graphs of sin(x), cos(x), and tan(x)

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Graph of y=sin(x)
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Intersection points of y=sin(x) and y=cos(x)
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Graph of y=tan(x)
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Amplitude, midline, and period

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Features of sinusoidal functions
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Midline, amplitude, and period review
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Practice
Midline of sinusoidal functions from graphGet 3 of 4 questions to level up!
Amplitude of sinusoidal functions from graphGet 3 of 4 questions to level up!
Period of sinusoidal functions from graphGet 3 of 4 questions to level up!

Transforming sinusoidal graphs

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Amplitude & period of sinusoidal functions from equation
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Transforming sinusoidal graphs: vertical stretch & horizontal reflection
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Transforming sinusoidal graphs: vertical & horizontal stretches
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Practice
Amplitude of sinusoidal functions from equationGet 3 of 4 questions to level up!
Midline of sinusoidal functions from equationGet 3 of 4 questions to level up!
Period of sinusoidal functions from equationGet 3 of 4 questions to level up!

Quiz 2

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Graphing sinusoidal functions

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Sinusoidal function from graph
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Graph sinusoidal functionsGet 3 of 4 questions to level up!
Construct sinusoidal functionsGet 3 of 4 questions to level up!
Graph sinusoidal functions: phase shiftGet 3 of 4 questions to level up!

Sinusoidal models

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Interpreting trigonometric graphs in context
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Trig word problem: modeling daily temperature
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Trig word problem: modeling annual temperature
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Trig word problem: length of day (phase shift)
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Practice
Interpreting trigonometric graphs in contextGet 3 of 4 questions to level up!
Modeling with sinusoidal functionsGet 3 of 4 questions to level up!
Modeling with sinusoidal functions: phase shiftGet 3 of 4 questions to level up!

Long live Tau

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Tau versus pi
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Pi is (still) wrong
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Quiz 3

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Unit test

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About this unit

Learn how the trigonometric ratios are extended to all real numbers using algebra. Start solving simple problems that involve this new definition of the trigonometric functions.