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November 26th, 2009, 03:30 PM   #1
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Tangent From Angle

I know there alot of Math functions out there like Tan(angle) and things like that to calculate the tangent of the angle, and they work perfectly fine. But I would like to know the actual formula to calculate the tangent of an angle, while just having the angle.

For example, I know the tangent of 45 is 1. But could someone show me the formula to calculate this?
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November 26th, 2009, 04:58 PM   #2
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Re: Tangent From Angle

There isn't really a formula for it, but when you get to calculus, you will learn that certain (infinite) sums will allow you to approximate it, given by something called "Taylor series". For tangent, the formula is given here.
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November 26th, 2009, 07:40 PM   #3
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A lot depends on what is meant by "formula". For example, can a formula use pi, given that you don't have the exact value of pi to work with?

If 0< x < 90, tan(x) = opposite/adjacent, where these are defined in the usual way in relation to an appropriate right-angled triangle.
If x = 45, the triangle has angles 45, 45, and 90, so it is isosceles, and so opposite = adjacent.
Hence tan(45) = 1.
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