If x2 + y2 = 1, then the point (x,y) is a point on the unit circle.
Chat with our AI personalities
[-sqrt(2), -sqrt(2)]
Since the radius of the unit circle is 1, the circumference is 2 x pi.
A 'unit cube'. Just like a circle with radius 1 and center at (0,0) is a 'unit circle'.
Sine is NOT the y coordinate: it is the sine of the angle made by the x-axis and the radius from a point on the circle. It is the cosine of the angle made with the y-axis.Consider any point, P, on the unit circle with coordinates (x, y). And let Q be the foot of the perpendicular from P to the x-axis. Then y = PQ.Now, in the right angled triangle OPQ, if OP makes an angle theta with the x axis, then sin(theta) = PQ/OP = y/OP and since OP is the radius of a unit circle, OP = 1 so that sin(theta) = y.
Pi over 12 on a radian unit circle is a little more than a quarter of the circle. Radian units are an alternative to degrees.