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Of Course , But what should be the real solution?
That idea is actually not so goofy anymore. You could use geogebra!
Hmm.....Without a series or a table?
Draw a right angled triangle with :theta = 5, and find the ratio of the Perpendicular and Hypotenuse
The following recursive algorithm will do it without any table lookup, and could be done by hand without having to do anything but multiply, subtract, and divide
It should be pretty fast, since dividing by 3 on each step will drop the argument to arbitrarily small size in logarithmic time. Of course, don't compute sin(x/3) twice in every iteration!
Here's a proof that it works:
Using a calculator is indirectly using series, which isn't allowed in the question.
one word - calculator
Thank you for the help!
I can't think of any way using trigonometry formulas, but complex numbers numbers could be used to derive them.