Pre-Calculus: Graphing the tangent

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This lesson introduces the graphs of all the other trigonometric functions (cosecant, secant, tangent, cotangent), using the sine and cosine graphs for points of comparison. Professor Burger shows you how to graph tanx using the identity tanx = sinx/cosx. This graph has asymptotes at all the multiples of Pi/2 and a period of Pi/absolute value of b. Next, you learn to graph secx, which is equal to 1/cosx. This means that secant has an asymptote anywhere cosx = 0. Next, Prof. Burger graphs cosecant, using the identity that cscx = 1/sinx. This graph is identical to secx, but shifted, like the relationship between sin and cos. Finally, you will learn to graph cotx, which is equal to 1/tanx. This means that there will be asymptote where tanx = 0, and zeros where tanx has asymptotes.

Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus.

Category:

Education

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• tangent
• graph
• trig
• precal
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• radius
• circle
• pie
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[a082528]

This is better than my actual teacher teaching me.

[welcome2myheart]

hmm kinda helped....

[qwert8T5]

Oh! Dr. Burger! Thank you so much!

[BadDudeGiovanni]

He looks like Anthony Wiener.

[rememberI]

this man is a life saver

[monicasocal]

omg i have a math test today i hope i can do well ugh crap!

[Wargamer008]

if you spam pressing 1 and 2 he says Happy.

[WOTNeedForSpeed]

Press 6 repeatedly and that is my face throughout the video

[flowiepanda]

BUT HOW DO YOU SHIFT?!!!!!!!!! AHJKGADKJHGFDAD

[OneWingedPanda]

This guy did in 3 minutes what my teacher cannot in 60...

[SiikP90]

OMG thank you soo much. I knew what they looked like but I didn't know where the points came from!!!!

[Poolerirish]

asymptotic... he made it up