Status: New Owner: ---- Labels: Type-Defect Priority-Medium
New issue 2949 by waks...@gwax.com: trig functions do not return exact results for half angles
http://code.google.com/p/sympy/issues/detail?id=2949 trig functions should become exact results for half angles sin(pi / 12) == sqrt((1 - cos(pi/6))/2) == (sqrt(3) - 1) / (2 * sqrt(2)) however, sin(pi/12) is always returned as sin(pi/12)
sin(pi/12)
sin(pi/12)
_.evalf()
0.258819045102521
sqrt((1-cos(pi/6))/2)
(-3**(1/2)/4 + 1/2)**(1/2)
_.evalf()
0.258819045102521
(sqrt(3)-1)/(2*sqrt(2))
2**(1/2)*(-1 + 3**(1/2))/4
_.evalf()
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