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Unit: Trigonometry

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Possible mastery points

Introduction to radians

Learn
Intro to radians
(Opens a modal)
Radians & degrees
(Opens a modal)
Degrees to radians
(Opens a modal)
Radians to degrees
(Opens a modal)
Radian angles & quadrants
(Opens a modal)
Practice
Radians & degreesGet 3 of 4 questions to level up!

The unit circle definition of sine, cosine, and tangent

Learn
Unit circle
(Opens a modal)
The trig functions & right triangle trig ratios
(Opens a modal)
Trig unit circle review
(Opens a modal)

The graphs of sine, cosine, and tangent

Learn
Graph of y=sin(x)
(Opens a modal)
Intersection points of y=sin(x) and y=cos(x)
(Opens a modal)
Graph of y=tan(x)
(Opens a modal)

Basic trigonometric identities

Learn
Sine & cosine identities: symmetry
(Opens a modal)
Tangent identities: symmetry
(Opens a modal)
Sine & cosine identities: periodicity
(Opens a modal)
Tangent identities: periodicity
(Opens a modal)

Trigonometric values of special angles

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Trig values of special angles
(Opens a modal)
Practice
Trig values of special anglesGet 3 of 4 questions to level up!

The Pythagorean identity

Learn
Proof of the Pythagorean trig identity
(Opens a modal)
Using the Pythagorean trig identity
(Opens a modal)
Pythagorean identity review
(Opens a modal)
Practice
Use the Pythagorean identityGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 300 Mastery points

Introduction to amplitude, midline, and extrema of sinusoidal functions

Learn
Features of sinusoidal functions
(Opens a modal)
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!

Finding amplitude and midline of sinusoidal functions from their formulas

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Amplitude & period of sinusoidal functions from equation
(Opens a modal)
Practice
Midline of sinusoidal functions from equationGet 3 of 4 questions to level up!
Amplitude of sinusoidal functions from equationGet 3 of 4 questions to level up!

Period of sinusoidal functions

Learn
Amplitude & period of sinusoidal functions from equation
(Opens a modal)
Midline, amplitude, and period review
(Opens a modal)
Practice
Period of sinusoidal functions from graphGet 3 of 4 questions to level up!
Period of sinusoidal functions from equationGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 600 Mastery points

Graphing sinusoidal functions

Learn
Transforming sinusoidal graphs: vertical stretch & horizontal reflection
(Opens a modal)
Transforming sinusoidal graphs: vertical & horizontal stretches
(Opens a modal)
Practice
Graph sinusoidal functionsGet 3 of 4 questions to level up!

Constructing sinusoidal functions

Learn
Sinusoidal function from graph
(Opens a modal)
Trig word problem: modeling daily temperature
(Opens a modal)
Trig word problem: modeling annual temperature
(Opens a modal)
Practice
Construct sinusoidal functionsGet 3 of 4 questions to level up!
Modeling with sinusoidal functionsGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 300 Mastery points
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Unit test

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About this unit

Learn about the definition of the basic trigonometric functions (sin(x), cos(x), and tan(x)), and use advanced trigonometric functions for various purposes.