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Vers- is just from versus "opposite/against". But versine isn't opposite of sine, if anything it's opposing cosine. I too am curious this how this naming conven
by kortex 6y ago
Vers- is just from versus "opposite/against". But versine isn't opposite of sine, if anything it's opposing cosine. I too am curious this how this naming convention arose.
- klodolph 6y agoIt is opposite the sine, it is at a right angle. Look at the circle diagram: the "sinus rectus" goes vertically and the "sinus versus" goes horizontally.
- nwallin 6y agoIt always bugged me that secant is 1/cosine, cosecant is 1/sine, and cotangent is 1/tangent. Like what does co- mean? Trigonometry never really clicked for me. I can remember the formulas and such, but I never really understood what they meant. It was an exercise in remembering but never knowing.
- magnio 6y agoThe prefix 'co-' stands for complementary. Two complementary angles add up to 90°. The cosine of a angle is therefore the sine of its complementary angle, etc. For the secant and tangent, it originates from the geometry of the unit circle. The first image in the article explains it well.
- deleted 6y ago[deleted]
- phaemon 6y agoIf you like visual explanations, you might enjoy this from 3blue1brown: https://www.youtube.com/watch?v=yBw67Fb31Cs https://www.youtube.com/watch?v=yBw67Fb31Cs
- jacobolus 6y agoWikipedia explains this clearly, https://en.wikipedia.org/wiki/Versine#Versine_and_coversine https://en.wikipedia.org/wiki/Versine#Versine_and_coversine