You are amazing at your job. My math teacher sucks at his job and should be fired and now will think he taught us the material, when in reality, you did! I love you thank you god bless you
You had me worried at 9:28, and then sooo relieved at 10:15, when you reflected over the x-axis....whew!! (I'm turning into a repeat customer...you rock!!)
But Mr. Mario! why the cycle of the tangent and cotangent functions is just 1 pi but the cycle of the sin and cos functions is 2 pi? Your video is really helpful!!
+Sam Nguyen good question. As you go around the unit circle and take the y coordinate over the x coordinate to find the tangent you will notice that it repeats every pi and the same for cotangent(x over y). Glad the video benefitted you.
+Vanessa Sue London first you want to figure out what the period is. The period is pi for tan and cotangent. Then you want to divide pi by the b value...b is the number to the left of the variable x. Once you know the period divide it by 4. So in the example I showed the period was pi/2. If you divide that into fourths the scale on the axis becomes pi/8, 2pi/8, 3pi/8 and 4pi/8....hope that helps.
Sir will we count it as one cycle still ....if we have a graph from -pie/2 to pie/2 of y=tan(x) because I have studied one cycle is two disjoint opposite curves shapes but part from -pie/2 to pie/2 is joined?
Muhammad that is a good question...the way I understand it...1 period of the graph is the time or distance along the x axis until the graph repeats...so from that perspective it wouldn’t matter where you started or ended as long as it was one cycle or one repetition of the graph...hope that helps!
😅 my teacher is teaching us completely different for tan she has us choosing random points between -π/2 and π/2. Those points are gonna be in radians so we have to find the tangent of the radian points but she's teaching us how to find the tangent using a scientific calculator but during test and quiz's we can't use a scientific calculator 🤦
Man jumped into a complicated problem after explaing what amplitude did and b did for tangent. Jeez man take me to dinner before raw dogging me. lmao build up dont throw me in like that
Like this video? Learn how to graph secant and cosecant in the video I did here: ruclips.net/video/2o_dxyKAXLQ/видео.html
Mario does the amplitude of the tangent matters?
This Video is still serving justice in 2024!! you Mario, saved my life tonight with my math homework. Thank you so much :)
Glad it helped!
Wow! You actually helped me understand this part of the unit. I might actually get a 100% on this test
Awesome! Glad my video helped you Walid!
People out there be teaching better than my own teachers 😂
That’s why I’m here lol
Your explanation is so much more simple and easy to understand than my math teacher's, thank you!
Great to hear!
Legit better than my current professor. This sub is on the house
The first 2 mins saved my life man, thanks!
+Daniela B your welcome. Glad my video helped you.
You are right
You are amazing at your job. My math teacher sucks at his job and should be fired and now will think he taught us the material, when in reality, you did! I love you thank you god bless you
Glad my video helped you.
Thank you so much.... you are the best. Your videos are super detailed and they are explained in a super simple way.
+Imran Ahmad thanks for the positive feedback. Glad the videos are helping you!
You are a great teacher, you broke it down in a simple way. Thank you for giving all that important information, you are my hero!!! :)
+O Avila thanks! Glad my video made it easier for you to understand!
Dude explains everything better than my teacher and he's super chill
Mr. Mario THANK YOU SO MUCH you just saved my life
+Gimmie your welcome
As per usual amazing video, I truely do appriciate what you do on your channel.
Thanks Neef! Glad you like my channel!
You had me worried at 9:28, and then sooo relieved at 10:15, when you reflected over the x-axis....whew!! (I'm turning into a repeat customer...you rock!!)
Glad you liked my video! Welcome to the channel!
It was so hard to me ,but know I feel it is so easy after I watched your videos
Great! Glad my video helped you!
I have my Algebra 2 final tomorrow and I found this very helpful
0:00 : Tangent graph
2:16: Cotangent graph
4:08 Stretching and compressing (Transformations)
I understood this so easily😭. The videos my teachers give don’t explain good at all. Definitely gonna sub 👍
I’m glad my video helped you understand tangent and cotangent!
your explanation is very clear
thank you sir respect from Sri Lanka 🇱🇰
Wow! Thank you soooo much! ❤I was stuck, but now I understand how to plot these graphs!
Your videos are perfect, I appreciate your work very much. Thank you for all your work and dedication.
Glad you like them!
Thank you so much Mario, we really appreciate these videos!
this man is the best
You’re a lifesaver
OMGGG APPRCIATEEE MADE MY LIFE SO MUCH EASIER
Your videos are the best.. Always well explained
+Stephanie Musa thank you so much! I'm glad you are benefitting from my channel!
Thanks a lot!!
Really helped me there!
Keep it up!!
You’re welcome Nikhil! Glad my tangent and cotangent video helped you!
You're phenomenal!
Glad you liked my video Sahar!
so simple and straightforward thank you!!!
+Jhea Espares your welcome!
Thank you so much this video help me a lot 💆♀️
Your welcome! Glad my video helped you!
Thx alot ! The way you instructed is terrific
Very helpful! Thanks so much.
+Tasha Nicole your welcome! Glad the video helped you!
Thank you so much this video was very helpful!
+Kiondra W. your welcome! Glad it helped you.
Thanks sir this very helpful for me 👍
Sir...I love you. Thank you so much.
It is a really good video. Thank you so much!
+Wang Fei your welcome! I'm glad it helped you!
Ayo do you pull
I have a question. Why don't you distribute the 2 into the parentheses? you would get a phase shift of pi/2 instead of pi/4
This helped so much! Thank you
Wow thats a nice vedio, thanks for explaining
You’re welcome Satish!
But Mr. Mario! why the cycle of the tangent and cotangent functions is just 1 pi but the cycle of the sin and cos functions is 2 pi?
Your video is really helpful!!
+Sam Nguyen good question. As you go around the unit circle and take the y coordinate over the x coordinate to find the tangent you will notice that it repeats every pi and the same for cotangent(x over y). Glad the video benefitted you.
Great explanations, thank you for this video!
This video helped sooo much!!!
Awesome!
Shouldn't the graph at 8:00 be shifted over to the right 2pi? Because -(-pi)/0.5 is 2pi, not pi?
in the video, 8:27 mins, what's the final answer? the red mark or the first one you drew which is the black one?
Thank you so much!!!
+Martin Hernandez your welcome!
thank you
You are awesome man
Glad you like my videos Vishnu!
Really helpful !
+Cyberdude229 glad it helped you!
thank you it makes sense a lot
Your welcome!
What about the 1/2 amplitude in the front, doesn't that blunt the +1 and -1 to +- 1/2?
+mikeman6kids yes that is correct...in the video I just changed the scale on the y-axis to adjust for the vertical compression. Hope that helps!
Thank you so much
You’re welcome Kaylee!
Thanks!
Thanks for the Super Thanks!
how did it became 3pi over 8? btw this vid is so helpful and i was assigned to report about cotangent function on our basic calculus class thankyou
+Vanessa Sue London glad the video helped you and your report to your calculus class!
May i ask how did the scale after pi over 4 became 3pi over 8 on the cotangent?
+Vanessa Sue London first you want to figure out what the period is. The period is pi for tan and cotangent. Then you want to divide pi by the b value...b is the number to the left of the variable x. Once you know the period divide it by 4. So in the example I showed the period was pi/2. If you divide that into fourths the scale on the axis becomes pi/8, 2pi/8, 3pi/8 and 4pi/8....hope that helps.
Thank you so much! :)
+Vanessa Sue London your welcome...glad you understand!
cot=1/tan, tan=sin/cos, so cot=1/sin/cos--On cot pi/2 which is at 90degrees, wouldn't 1/sin/cos be 1/1/0 which is undefined?
Cot pi/2 equals 0....think of cotangent as x/y on the unit circle....
Thank you so much. My teacher just assigns work from the book and not doing shit
Glad my videos can help
@@MariosMathTutoring I love you.
the 🐐
thankyou Sir
You’re welcome Muhammad!
I am going to fail trig that's for sure but thanks you I will fail with confidence that I may pass next semester
did you pass
shouldn't the last example be -tan? I graphed it and it doesn't work
Sir will we count it as one cycle still ....if we have a graph from -pie/2 to pie/2 of y=tan(x) because I have studied one cycle is two disjoint opposite curves shapes but part from -pie/2 to pie/2 is joined?
Muhammad that is a good question...the way I understand it...1 period of the graph is the time or distance along the x axis until the graph repeats...so from that perspective it wouldn’t matter where you started or ended as long as it was one cycle or one repetition of the graph...hope that helps!
Now I get it..... no matter from where you start , one cycle is until the curve repeats itself . THANKS ALOT !!!
You’re welcome Muhammad!
So, what's the period of y= tanx+ cotx?????
period of tan and cot should be pi/b. b is whatever x is being multiplied by.
Tan and cot are complementary function. So period = 1/2 ( lcm of π , π) = π/2 Ans.
why cotangent is 0 from 180 while tangent is from -90 to 90?
Just a convention decided upon by mathematicians...but remember these graphs are cyclic and repeat every pi
J. SIn ???
😅 my teacher is teaching us completely different for tan she has us choosing random points between -π/2 and π/2. Those points are gonna be in radians so we have to find the tangent of the radian points but she's teaching us how to find the tangent using a scientific calculator but during test and quiz's we can't use a scientific calculator 🤦
Bald genius
Bruh still tryna know how to graph tangent and cotangent
Man jumped into a complicated problem after explaing what amplitude did and b did for tangent. Jeez man take me to dinner before raw dogging me. lmao build up dont throw me in like that
You are spreading false information on the mistake on 1:24. I will not tolerate these mistakes. You are canceled.
I don't think you did the graph at 8:25 wrong. Isn't the vertical phase shift = π? So the graph should start at π not 0. What am i missing?