If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Main content

Unit: Trigonometric functions

0

Possible mastery points

Unit circle introduction

Learn

Practice

Unit circleGet 3 of 4 questions to level up!

Radians

Learn

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

Learn

Practice

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

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!

Quiz 1

Level up on the above skills and collect up to 500 Mastery points

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

Learn

Amplitude, midline, and period

Learn

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

Learn

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

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

Graphing sinusoidal functions

Learn

Practice

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

Learn

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

Learn

Quiz 3

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

Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1700 Mastery points!

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.