Why will the ratios always be the same no matter what in a 30-60 triangle and a 45-45?

11pi/4 = 2pi + 3pi/4 = 3pi/4 sin(11pi/4) = sin(3pi/4) 3pi/4 = pi -pi/4 sin(3pi/4) = sin(pi-pi/4) 3pi/4 or pi-pi/4 lies in quadrant 2 whose reference angle is pi/4 ; sine is > 0 in quadrant 2 sin(3pi/4) = sin(pi/4) =?2 /2 sin(11pi/4) =?2 /2.

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