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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 560 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

Level up on the above skills and collect up to 480 Mastery points

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

Level up on the above skills and collect up to 480 Mastery points

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Unit test

Level up on all the skills in this unit and collect up to 1900 Mastery points!

About this unit

Discover how to measure angles, distances, and heights using trigonometric ratios and the unit circle. Learn how to use sine, cosine, and tangent to solve real-world problems involving triangles and circular motion.