Can some one tell how to find the cosine of an angle with only the angle and the
hypotenuse.
hypotenuse.
The cosine is a function of the angle alone. The hypoteneuse is extraneous information. Most calculators will perform the function on an angle expressed in degrees, radians, or grads.Can some one tell how to find the cosine of an angle with only the angle and the
hypotenuse.
I would have thought that a calculator would use a Taylor Series to calculate sine and cosine? (This approach would be easy to program). It would be interesting to know.If you want to know how the calulator evaluates the cosine function it probably uses a truncated chebyshev polynomial.
In the original problem statement the length of the adjacent side is not known. The givens are theta and the length of the hypoteneuse. If you know theta, the hypoteneuse is irrelevant.The cosine of an angle is defined as:
Cosθ = A/H
You know θ and H.
I would have thought that a calculator would use a Taylor Series to calculate sine and cosine? (This approach would be easy to program). It would be interesting to know.
Dave
cos x = 1 + a2x^2 + a4x^4 + a6x^6 + a8x^8 + a10x^10 + e(x)
0 .le. x .le. pi/2
norm(e(x)) .le. 2e-9
a2 = -.49999 99963
a4 = +.04166 66418
a6 = -.00138 88397
a8 = +.00002 47609
a10 = -.00000 02605