If the radius is two. it won't be a unit circle, a unit circle is defined as a circle with radius one.
Sine: the y-coordinate. Cosine: the x-coordinate. Tangent: the ratio of the two (y/x).
The unit circle is a circle with its center at the origin and a radius of ' 1 '.
A unit circle is a circle with radius equal to one.
A circle can have a unit of length which could be either a measure of its diameter or radius, or of its circumference. Or the circle could have the unit of area.
sin 300 = -sin 60 = -sqrt(3)/2 you can get this because using the unit circle.
To show that sin(90 degrees) is equal to 1, we can use the unit circle. At 90 degrees, the point on the unit circle has coordinates (0, 1), where the y-coordinate represents the sine value. Since the y-coordinate is 1 at 90 degrees, sin(90 degrees) is equal to 1. This can be visually represented on the unit circle diagramatically.
On the unit circle sin(90) degrees is at Y = 1 and as that is on the Y axis X will equal = 0. Ask yourself. Where would 90 degrees be on a 360 degree circle? Straight up.
If the radius is two. it won't be a unit circle, a unit circle is defined as a circle with radius one.
The points (x, y) of the unit circle are those that satisfy: x2 + y2 = 1 or in parametric form: x = cos t y = sin t as t varies from 0 to 2{pi} radians (= 360o)
Sine: the y-coordinate. Cosine: the x-coordinate. Tangent: the ratio of the two (y/x).
The unit circle is a circle with its center at the origin and a radius of ' 1 '.
A unit circle is a circle with radius equal to one.
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.
It is unknown who created the unit circle. Pythagoras did a lot of work related to the unit circle. In ancient times, Greek, Indian, and Arabian mathematicians used the unit circle.
A unit circle is not normally called 2 pi. Because the radius length measure of the unit circle is 1 unit, then the circumference of a unit circle is 2*pi, and its area is pi.
The unit circle is a circle that can be used to find trigonometric functions. The equation of the unit circle is x^2 + y^2 = 1. So it is any circle with radius 1.