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The beautiful sine wave turns out to have a huge number of practical applications, from the motion of springs, to waves in the sea, to sound waves, light waves and more. It is curious that the function which defines the sine wave, sin(x), comes from comparing the lengths of sides in right-angled triangles – just about the least curvy things you could imagine. How does that concept result in the lovely curve of the sine wave? A lecture by Sarah Hart The transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/watch-now/s... Gresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/ Website: https://gresham.ac.uk Twitter: / greshamcollege Facebook: / greshamcollege Instagram: / greshamcollege