M. Hany matter

➡️ Magic: Pause the reel anytime after 3 seconds and see the summation of sin^2x and cos^2x equals 1! 🔥 ➡️Day-37/500 of Visual Interpretations of Mathematics: 🇮🇳 🌟 ➡️Experience India's 1st ever visualization of the sin-cos identity like never before! Watch the dynamic relationship between sin^x and cos^2x evolve to form the iconic trigonometric identity. Here's the magic: pause the reel anytime after 3 seconds and see the summation of sin^2x and cos^2x equals 1! 🔥 ➡️Follow @equationacademy for more #jee #equationacademy #math #edupreneur #animation #technology #firstindian #studygram #science #python #pythonprogramming #caluculus #integration #education #revolution#mathematics #differentiation #calculus#integration#geometry #coordinate #circle #ellipse#trigonometry #cot #tan #domain #range#function #identity

Pythagorean Dissection! This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) where we show how to use Euclid’s shear and rotate proof to create a dissection proof. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! Check out my Pythagorean theorem playlist: https://www.youtube.com/playlist?list=PLZh9gzIvXQUvlRlnYryejWGHYQquM92rB The dissection proof was suggested to me by Glen Whitney (https://studioinfinity.org/), and Glen then found a similar dissection in the compendium of Pythagorean theorem proofs from Elisha Loomis (Proof 21 on p. 122 ). (I may receive a small commission at no cost to you for this affiliate link): https://amzn.to/3RL7rfN #math #pythagoreantheorem #pythagorean #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo To learn more about animating with manim, check out: https://manim.community

This visual represents the unit circle, and how the value of the cosine of theta varies as the angle theta increases. Cosine of theta can be thought of as the x coordinate as we move along the unit circle. The reason for this is because the unit circle has a radius of 1 by definition, which is the hypotenuse of the right angled triangle. Now, as we move along the arc of the circle, starting from the coordinate (1,0), our x and y positions change. We can call the angle between the x axis and the hypotenuse theta, and by simple trigonometry we see that the x coordinate is always the cosine of theta! Follow @mathswithmuza for more… #math #mathskills #mathproblems #trigonometry #sine #cosine #algebra #learn #calculus #school #foryou #fyp #why #how #university #college #stem #physics #coding #chatgpt #mathstricks #ai #foryoupage

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