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by mettamage 836 days ago
What’s the best way to calculate it by hand?

I’m brushing up my math basics (I graduated CS while dodging the math requirements) and it frustrates me that in trig I need to remember values at all. The values such as sqrt(2)/2 make sense but how hard is it to calculate sin(5 degrees) by hand?

3 comments

Use a Taylor series with a four function calculator.

0 is a decent approximation of sin near 0.

x is a better one.

x - x^3/6 is an even better one.

x - x^3/6 + x^5/120 ...

Note that x here is in radians rather than degrees so convert (degrees * pi/180) first. Repeat until you're satisfied with how many stable digits you get

Five is small enough that you can get away with sin(5 deg) = 5pi/180