Graphing Cotangent with a Phase Shift

Рет қаралды 109,386

11 жыл бұрын

👉 Learn how to graph a cotangent function. To graph a cotangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertical shift from the parent function) and the asymptotes (the two vertical lines which the graph does not touch). After we have obtained these features, we plot the points on the graph and graph accordingly using the graph of the parent function.
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Organized Videos:
✅ How to Graph Trigonometric Functions
• How to Graph Trigonome...
✅ How to Graph Tangent | Learn About
• How to Graph Tangent |...
✅ How to Graph Secant | Learn About
• How to Graph Secant | ...
✅ How to Graph Sine and Cosine | Learn About
• How to Graph Sine and ...
✅ How to Graph Trigonometric Functions | Learn About
• How to Graph Trigonome...
✅ How to Graph The Sine Function
• How to Graph The Sine ...
✅ How to Graph The Cosine Function
• How to Graph The Cosin...
✅ How to Graph The Tangent Function
• How to Graph The Tange...
✅ How to Graph The Cotangent Function
• How to Graph The Cotan...
✅ How to Graph Cosecant Function
• How to Graph Cosecant ...
✅ How to Graph The Secant Function
• How to Graph The Secan...
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Пікірлер: 51

@kmichaelc13 5 жыл бұрын

Your videos are literally the only reason i am passing my Alg/Trig class. Thank you so much for putting out so much content and doing such a fine job explaining everything!

@bahjaabdirazack6518 5 жыл бұрын

You’re the best teacher I’ve ever seen thank you for your explanation really appreciate it❤️

@emanuelvazquez6492 3 жыл бұрын

Not me not showing up to class so I'm watching video lectures 7hrs before my test

@harrisonbennett7122 5 жыл бұрын

I love you way you write on the board with that pen. So smooooth

@SZ-rz8hj 6 жыл бұрын

You have a video for basically anything I have troubles with! Thank you greatly, sir. You have earned a sub and a like :)

@brianmclogan 6 жыл бұрын

happy to hear and happy to be able to help you out!

@a4ha0 2 жыл бұрын

thank you so much for getting straight to the point

@MathAngel369 3 жыл бұрын

Thank you. I am looking for different ways to explain to my students. You explain very well.

@shezvisual Жыл бұрын

Thank you!!! Loving these videos!!

@callmejanaa9962 3 жыл бұрын

U r such an amazing teacher ❤️❤️ u truly deserve the best .. all love from Palestine 🇵🇸

@reidpattis3127 9 ай бұрын

New tutor here. Appreciate your work.

@eleni3373 2 жыл бұрын

bro ur a life saver thank you so much

@primetime1149 5 жыл бұрын

This channel is the reason i have a grade in math

@domaniturner8758 Жыл бұрын

Is the end part = to pi because of the period or will I always use pi

@daniellamcintosh9946 5 жыл бұрын

Since you started at -Pi/2 wouldn’t that be an intercept and not an asymptote? Zero would be the asymptote and then Pi...then every Pi from then on? The graph now doesn’t have a phase shift, just a smaller period.

@JEntertainment06 2 жыл бұрын

The reason he started at -pi/2 is because of the phase shift

@elifmutafoglu 4 жыл бұрын

ahaha he said "fatter, um expanded horizantly"

@keyframecatalyst3344 4 жыл бұрын

Nah, he said "fatter or expanded horizontally", wasn't a self correction

@muhammetyusuftanas3190 3 жыл бұрын

türkmüsün

@hira92khan 4 жыл бұрын

What is x-scale?

@kawtharami2635 6 жыл бұрын

thank you!!!!

@brianmclogan 6 жыл бұрын

you are very welcome!

@nf3288 5 жыл бұрын

I have been watching your trig playlist & I think I am a little confused, because I am watching so many videos at once. That being said, when looking to solve for the start and end I noticed for your Tangent video instead of setting the inside of parentheses to equal 0 for the start and equal pi for the end you had set the start to -pi/2 and the end pi/2 . So I am wondering why we do not do this for cotangent? ( not using -pi/2 and pi/2 for the start and end) I was thinking it has to due with solving for the parent graph when there is no phase shift, but I could be wrong.

@brianmclogan 5 жыл бұрын

it has to do with the parent graphs of cotangent and tangent. If you compare them using desmos you will see that the initial period of tangent is -pi/2 to pi/2 where cotangent is 0 to pi

@nf3288 5 жыл бұрын

Wow thank you! You are seriously the best professor ever. So to certify always remember the above statement while remembering sin, cosine and there inverses start and end are 0 to 2pi

@kunaalbhatt2246 6 жыл бұрын

how do you know which way the graph is supposed to go (as in negative and positive)

@brianmclogan 6 жыл бұрын

not sure if I understand your question but I am using the parent graph and applying the transformations

@slummyslumEntertainment 6 жыл бұрын

so when its tan the aysatote doesn't go at the start but when its cot it dose?

@brianmclogan 6 жыл бұрын

the initial period you are talking about, yes, both of those functions continue forever so there really is not a start or end but we do use that terminology for the initial period.

@KyuuleGamingHD 6 жыл бұрын

I think that graph is also equal to -2tan(x) which is easy to sketch :)

@brianmclogan 6 жыл бұрын

true

@gavinsgolfs5288 Жыл бұрын

Missing my teacher’s lectures because knee surgery thanks for the help

@brianmclogan Жыл бұрын

You are very welcome!!

@jaspermcells9527 4 жыл бұрын

what is the value of the phase shift in there?

@patrickparreno7741 3 жыл бұрын

Sir, is it possible that a tangent touches the 0 in graph? Another question: Am I only Filipino here who's watching this?

@manatees888 5 ай бұрын

Did you set the end point equal to pi because that’s the period

@sarahpix8774 4 ай бұрын

yes one wave, but for sin or cos it's going to be 2pi. just something you need to know for formula wise

@zhijin0201 7 жыл бұрын

So the x-scale is the distance between x-values rite

@brianmclogan 7 жыл бұрын

the x-scale as used in this video is the distance between the x-intercepts and max and min points

@zhijin0201 7 жыл бұрын

Ok, thx sir

@zhijin0201 7 жыл бұрын

Is it only will be used in cot graph or in any graph?

@brianmclogan 7 жыл бұрын

all trigonometric graphs

@muradhamed2960 3 жыл бұрын

YOU SHOULD 100% RETURN THE STACHE, it look good on you

@samluvzcookies 5 ай бұрын

Yes ❤

@brianmclogan 10 жыл бұрын

nope pi

@snafu4714 3 жыл бұрын

Must have been no shave november haha

@502Bentley 4 жыл бұрын

2 pi / b..... B as in butterfly........ (face palm)

@camp1158 3 жыл бұрын

damn rip Jacob. homeboy was slacking

@brianmclogan 3 жыл бұрын

Haha yeah

@bitchesfightingonbus 4 жыл бұрын

so there was no shift?

@brianmclogan 4 жыл бұрын

pi/2 left, must have missed it