We learn in school that the sine and cosine functions are related to both circles and triangles. The GIF below illustrates the relationship these functions have between circles, triangles, and each other all at the same time. It appears so simple, but the longer you stare at it, the more you notice about these relationships.

http://imgur.com/a/VTMUq#8

Explore math GIFs and more in our next hangout on air: mathematics edition, tomorrow at 8 pm US ET. You won’t want to miss it.

#hangoutsonair #science #mathematics #math #scienceongoogleplus

**Originally shared by Science on Google+**

Join mathematicians Dana Ernst , Sara Del Valle , Vincent Knight , Luis Guzman and Robert Jacobson as they talk with Amy Robinson about their favorite math gifs and ideas and what it’s like to be a mathematician. How many numbers are there? Do mathematicians see the world differently? And why is the last panel of this xkcd comic funny? http://xkcd.com/804/

Dana Ernst is an assistant professor in the Department of Mathematics and Statistics at Northern Arizona University in Flagstaff, AZ, USA.

Sara Del Valle is a mathematical epidemiologist at Los Alamos National Laboratory in Los Alamos, NM, USA.

Vincent Knight is a LANCS lecturer at the Cardiff University School of Mathematics in Operational Research in Cardiff, Wales, UK.

Luis Guzman is a graduate student in mathematics at the University of West Florida in FL, USA.

Robert Jacobson is Assistant Professor of Mathematics at Roger Williams University in RI, USA.

Hangout hosted by Science on Google+’s Amy Robinson

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