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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.
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How do you write an equation for a circle with a center?
Equation of any circle, with any radius, and its center at any point: [ x - (x-coordinate of the center) ]2 + [ y - (y-coordinate of the center) ]2 = (radius of the circle)2
In trig how is the value of r interpreted geometrically in the definitions of the sine cosine secant and cosecant?
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If x2 + y2 = 1, then the point (x,y) is a point on the unit circle.
You can find the rise by the y-coordinate of the left point from the y-coordinate of the right point?
subtracting
What is the name of the x and y in an ordered pair?
The first and second coordinate. X is the first coordinate and y is the second.
