Course content

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Basic trigonometry | Basic trigonometry | Trigonometry | Khan Academy

Introduction to trigonometry

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-using-soh-cah-toa?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and

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Basic trigonometry II | Basic trigonometry | Trigonometry | Khan Academy

A few more examples using SOH CAH TOA

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-trig-to-solve-the-sides-and-angles-of-a-right-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-using-soh-cah-toa?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in

0h09m

Radian and degree | Unit circle definition of trig functions | Trigonometry | Khan Academy

What a radian is. Converting radians to degrees and vice versa.

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/unit-circle-definition-of-trig-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radian-and-degree-conversion-practice?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you ma

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Using Trig Functions

Using Trigonometric functions to solve the sides of a right triangle

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Using Trig Functions Part II

A couple of more examples of using Trig functions to solve the sides of a triangle.

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The unit circle definition of trigonometric function

Using the unit circle to extend the SOH CAH TOA definition of the basic trigonometric functions.

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Unit Circle Definition of Trig Functions

Using the unit circle to define the sine, cosine, and tangent functions

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Graph of the sine function

Using the unit circle definition of the sine function to make a graph of it.

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Graphs of trig functions

Exploring the graphs of trig functions

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Graphing trig functions

Analyzing the amplitude and periods of the sine and cosine functions.

Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/graphs_of_sine_and_cosine?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription

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More trig graphs

Determining the equations of trig functions by inspecting their graphs.

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Determining the equation of a trigonometric function

Determining the amplitude and period of sine and cosine functions.

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Trigonometric Identities

Introduction to trigonometric identities

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Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)

Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b)

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Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)

Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)

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Trig identities part 2 (part 4 if you watch the proofs) | Trigonometry | Khan Academy

More playing around with trig identities

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identies-part-3-part-5-if-you-watch-the-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trigonometry-identity-review-fun?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...

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Trig identities part 3 (part 5 if you watch the proofs) | Trigonometry | Khan Academy

Continuation of the playing around with trig identities

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/2003-aime-ii-problem-11-avi?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identities-part-2-parr-4-if-you-watch-the-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you m

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Trigonometry word problems (part 1)

The first part of a problem when the captain of a ship goes off track.

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Trigonometry word problems (part 2)

The second part of the problem of the off-track ship captain

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Proof of the law of cosines | Trig identities and examples | Trigonometry | Khan Academy

Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/non-right-triangle-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/proof-law-of-sines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-sines-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangl