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Thanks for the appreciation and supporting the channel!

Thanks for the appreciation and supporting the channel!

Thanks for the appreciation and supporting the channel!

Correct! Thanks for supporting us!

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Thank you! Glad it was helpful

Thanks so much for the appreciation and supporting roseuniversity.org

Correct! Thanks for supporting us

Perfect! Thanks so much for supporting us!

haha! Thanks for supporting us!

We used MATLAB for all our simulations. Thanks for supporting us!

You got this! Correct!

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Thank you and thanks for supporting us!

Thank you Andrew! Glad it was helpful

Thank you again Andrew!

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We're glad it was helpful! Thanks for supporting us 😀

Glad to hear that! Thank you for supporting the channel and roseuniversity.org

Thanks a ton!

Thanks! Who is NEP?

@@RoseUniversity National Education Policy(NEP) under the Central Government in India.

You are welcome! Thanks for the encouragement

Thanks so much for the appreciation!

Thanks! Yes. Please see our plan on roseuniversity.org

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Thanks for the encouragement Axel!

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Glad it was useful!

You got it!

Hi there, not sure what you're asking. Can you explain a little more?

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Thanks!

Thanks!

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haha! Just making sure you notice the axis, you got it! Thanks for supporting Rose University!

Thank you Bill! Your appreciation definitely motivates us. And of course thank you for supporting Learnability.

Thanks so much for the appreciation and supporting Learnability! Glad it helped with explaining the concept!

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Wow! I did not know that. Very interesting. Thanks for supporting the channel!

Hi! Actually, “a tangent is always perpendicular to the radius” is sort of a confusing statement for students. In reality, a tangent is a simply a straight line that touches a curve or curved surface at a point, but if extended does not cross it at that point”. The curved surface here is the circumference of the circle. When we explained the concept of slope in this video, we used a line inside the circle. Turns out, it is the same as the radius. Then we showed that the tangent is simply parallel to that line to prove the slope graph stays the same. To understand further, you may start with any tangent on the circle of your choice and rotate it around and plot its slope. All that would change is where you would start and end on the tangent wave. Another way to look at this, if you draw another radius vertically up from the center to our chosen tangent and it’ll be perpendicular the tangent and your statement would hold true. Hope this helps! And thank you for supporting the channel.

yes, I checked in Desmos graph and there I found two concept: "tangent line" and "tangent function"... so in "tangent function" there's a line that perpendicular to radius but "tangent line" it's the stuff that you explained here: "a simply a straight line that touches a curve or curved surface at a point"....so I'm little bit confused when to start with and how to imagine it in my head))

Sure, it can be confusing. Here's the distinction: - A function is something which would take an input and give out an output. So a Tangent function would be Tangent(45 degrees) = 1, where 45 degrees is the input and 1 is the output. f ( input ) = Output where f or function here is a tangent. - A tangent line is what we discussed, different from a function with an input output relationship. Tan function is added to the title of the video so when people search for it, this video provides an insight into where the tan function comes from. Again, Tangent Wave is a function where the input is the horizontal axis, and the output is the vertical axis.

​@@RoseUniversity Thanks a lot! I'll have to do some more research and learning, but your videos really helped me gain insight into trigonometric concepts.

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Wow, thanks, that's a big compliment! Glad it was helpful and thanks for supporting the channel!

That's correct, every single one has the same logic! Thanks for supporting us!

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Will do! Thanks for supporting us!

Tatiana, that is very encouraging! Thanks for the motivation and supporting roseuniversity.org!

Me too! I'm literally 33.