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Hi, i was just wondering since cosx=1-(x^2/2) is there a similar formatted formula for sinx??
much appreciated :) :)
much appreciated :) :)
Well no. Your first hint as to why it isn't a GP is that if it were, we would most definitely be applying the formula for the GP of an infinite sum. That would then mean that sin(x) could be easily represented as a simple fraction in terms of x and that would change everything in maths.ahh okay! we're getting round to this in maths after had term. does it set up a GP??
x-x^{3}/3 :)so would it end up as x+(x^3/3) as an approximation?? xx
Well no. Your first hint as to why it isn't a GP is that if it were, we would most definitely be applying the formula for the GP of an infinite sum. That would then mean that sin(x) could be easily represented as a simple fraction in terms of x and that would change everything in maths.
Your second hint is that if you divide the first by the second term, the second by the third, etc. you won't get the same result each time, so it can't be a GP.
x-x^{3}/3 :)
I'll take that smiley as an exclamation point!x-x^{3}/3 :)
Aside from using sin/cos, there is this:Is there one for tan as well??
Yes that's exactly what I was aiming for hahaI'll take that smiley as an exclamation point!
[itex]x-{x^3 \over 6}[/itex]