A-Level Maths: E3-01 [Trig Graphs: Sketching sin(x), cos(x) & tan(x) from the Unit Circle]

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[@CINDY____]

absolute legend, 10/10, the bit about tan gave me chills

[@imharvey7753]

This man needs a knighthood. Single handly saving me in maths.

[@Leo-pu2nw]

this guy is just insane when he was on about tan it just blew my socks off

[@Awai_quotes]

Facts

[@chrisswift2257]

Possibly the best visual representation of how the sin/cos/tan graphs are built, and over three years old! Thank you so much in helping visualise these =]

[@TLMaths]

You make it sound like ancient history!

[@alexandraharrison5360]

Massively helpful for my mocks coming up, thank you!

[@TLMaths]

Thank you! Really glad I could help

[@dom_the3166]

Thanks, you explained this better in 20 minutes than my maths teacher could in a week of lessons

[@short-shots]

Just imagine having a teacher like this for every subject

[@theodirisu8691]

that’s why TL maths is the GOAT 🐐

[@abdulrahmanissa3406]

Nearly shed a tear after this explanation 😢

[@vikingsnowflake5341]

Hi, love your channel! I'm a private candidate so your videos are helping me immensely!! Quick question, how come that in the diagram when looking at the tangent of a triangle on quadrants II and III we find it from the tangent of the triangle on quadrants I and IV? (16:42) I understand the concept by looking at the graphs and it makes sense in terms of why on the graphs tan has a positive or negative value, but just wanted to make sense of it on the diagram. Thanks!

[@taegan9751]

Because remember that tanθ = sinθ/cosθ. So you absolutely can measure the triangle in quadrants 2 and 3 instead of extending the line and using the alternate angle. BUT remember that when θ is in the 2nd and 3rd quadrants, the base of the triangle you draw for tanθ is -1, not 1. So the height of the triangle becomes -tanθ. Therefore whatever values for tan θ you get in quadrants 2 and 3 you'd have to remember to multiply by -1 if you forget to change your base (adj side) to -1 instead of 1.

[@kwanhoyuen4991]

Thank you so much for such a great explanation of what sin/cos/tan graphs are, I haven't really understood this topic until now so I really appreciate your help!

[@babajani3569]

I also quite to look at tan as the gradient of the radius. So when the height is 1, the gradient is undefined and hence the asymptote.

[@Benhutchie22386]

This man is an absoulute legend :)

[@FrOsTBitE115Gaming]

Thank you soo much ive been looking for something like this for Agess

[@TLMaths]

Really glad I could help!

[@boushae6364]

Absolute legend. Thank you !

[@oliviarandom1688]

this is so well explained, thank you!!

[@Bitchbro420]

u are amazing thank you so much

[@milosummers2779]

It makes sense now🧘‍♂️

[@daiidook]

Great video

[@gucci8470]

Is there a video on the minimum and maximum points on the graph in trigonometry?

[@TLMaths]

What sort of question are you looking to answer? What's the maximum value of y = 2sin(x) for example?

[@gucci8470]

@@TLMaths Yes I'm not sure how to work it out for example 3 + sin x

[@TLMaths]

The maximum value of sin(x) is +1, so the maximum value of 3+sin(x) is 3+1=4
The minimum value of sin(x) is -1, so the minimum value of 3-sin(x) is 3-1=2

[@Awai_quotes]

I never heard from any teacher or anywhere else that tan wave like that bc of any reason like my teachers just telling me to get familiar without telling me how they came

[@Topdoggy69]

Would we ever get a question on this in the exam or is it just for our understanding? Thank you!

[@TLMaths]

This is for understanding, but you may be asked to sketch a trigonometric curve.