It is a well-known fact that the sine of x can be calculated very rapidly and accurately using the famous Taylor series: Sin(x) =x - x^3/3! + x^5/5! - x^7/7! + x^9/9! - x^11/11!.......etc. But x must be in radians. But suppose x was in degrees, what would the series look like? In other words, could the series be adjusted so that sine of x, in degrees, could be calculated? Our Math teacher said it can be so adjusted!, but I cannot see how it can be. Any insights? I realize that you can always convert x from degrees to radians, but he asserted that the series itself can be adjusted to x in degrees !! Thanks for any help.

Guest Jan 21, 2018

can't you just replace x with 180x/Pi?

Guest Jan 21, 2018

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