Math for fun sinsinz1

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The trigonometric equation sin(z)=1 is fairly easy to solve but not sin(sin(z))=1. Here we will be using the complex exponential definition of sine, which is from Euler's formula e^(i*theta)=cos(theta)+i*sin(theta), to solve this equation. We will see sin(sinz)=1 actually has infinitely many complex solutions, just like how we solve sin(z)=2. • sin(z)=2 • Math for fun, sin(z)=2 got over 1M views recently. Thank you all! Enjoy solving sin(sin(z))=1 • 🔑 If you enjoy my videos, then you can click here to subscribe https://www.youtube.com/blackpenredpe... • 🏬 Shop math t-shirt hoodies: https://teespring.com/stores/blackpen... • 10% off with the code WELCOME10 • Equipment: • 👉 Expo Markers (black, red, blue): https://amzn.to/2T3ijqW • 👉 The whiteboard: https://amzn.to/2R38KX7 • 👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integral... • --------------------------------------------------------------------------------------------------- • **Thanks to ALL my lovely patrons for supporting my channel and believing in what I do** • AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano • Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley • Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel • Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev • Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist • Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen • Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata • Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff • Julian Moik Hiu Fung Lam Ronald Bryant Jan Řehák Robert Toltowicz • Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham • Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi • Skorj Olafsen Riley Faison Rolf Waefler Andrew • --------------------------------------------------------------------------------------------------- • 💪 If you would also like to support this channel and have your name in the video description, then you could become my patron here / blackpenredpen • Thank you, • blackpenredpen

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