The Tangent Graph and the Unit Circle

How can you use the unit circle to think about the tangent ratio? Sure, you can think about it as the quotient of the y-coordinate and x-coordinate. But is there an easier way? Watch this video to see the tangent ratio from a slightly different geometric perspective. Then watch as I use the unit circle to generate the graph of the tangent function.

[@aksunonair]

This was so much more understandable than the simple graph they just provided in my textbook, thank you!

[@fredkong6671]

You’re welcome! Sometimes an animation can bring home the message better than a static image can.

[@qflexmoves]

These videos are very helpful. Thank you.

[@akmzahidulislam2764]

Great video. Excellent explanations. Thanks a lot.

[@fredkong6671]

Glad it was helpful!

[@RanpengLi]

Thank you so much, great video!

[@fredkong6671]

You’re welcome!

[@michaelzou8478]

Thanks, it really helped!

[@fredkong6671]

Glad to hear it!

[@abrrrik]

Wow, incredible! What is the app you are using to visualize this?

[@fredkong6671]

This is the Desmos app. Glad you liked it!

[@cko222]

Thank you! What software are you using to create this?

[@fredkong6671]

I am using Desmos, which is free on Desmos.com.

[@celedoniojimenez-ww1tb]

Stimmte ich mit bei den Gesammtsstimmen als 14 nur weil es gefällt mir die Nummer 13 nicht.

[@Philosophy-tv8dt]

Match teacher made us watch this, very helpful tho thanks a lot

[@fredkong6671]

Math teachers - can’t live with them, can’t live without them!

[@abu-karz]

Undefined= infinity

[@fredkong6671]

Infinity is not a number. We leave it more at the fact that undefined is just an expression that cannot be determined.