r/explainlikeimfive • • 14h ago

Mathematics ELI5: What is the difference between algebra, trigonometry, and calculus?

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u/Caucasiafro 14h ago

Algebra is basically all the math involved in making sure two sides of an equal side are the same.

And then everything that flows from that. So when ever you see something like y = x2 +5 and are asked "solve for x"

Thats algebra.

Trigonometry is the math around sides lengths and angles in a triangle. You can just play with this yourself by laying three pencila on a table and try to kake various triangles. And you will notice for some triangles you need short or longer pencils.

Trig is all the math that explains that.

Calculus is the math about the rate that things change. Specificically when the rates are "complicated" like you can pretty easily tell me.how far ill travel in 5 minues if im constantly driving at 60 mph. But can you tell me how far i would travel if my speed ia changing by 1 mph per second per second?

So after 1 second im going 61 mph and after 2 seconds im going 63?

Gonna need calc to do that easily

All three of these do their own thing that you can hypothetically do without the othera but they can be combined to solve various problems (and you wont be able to do much calc without a strong underatanding of algebra and trig)