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Unit: Trigonometric functions

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Unit circle introduction

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Unit circleGet 3 of 4 questions to level up!

Radians

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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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Use the Pythagorean identityGet 3 of 4 questions to level up!

Special trigonometric values in the first quadrant

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Trig values of π/6, π/4, and π/3Get 3 of 4 questions to level up!

Trigonometric values on the unit circle

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Trig identities from reflections and rotationsGet 3 of 4 questions to level up!
Trig values of special anglesGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 700 Mastery points

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

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Amplitude, midline, and period

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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 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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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 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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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.