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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

Learn
Trig values of π/4
(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

Level up on all the skills in this unit and collect up to 1200 Mastery points!

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.