Find the point on the unit circle for any angle, with its sine, cosine, tangent, and quadrant. Enter the angle and unit.
Point (x, y)
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On the unit circle.Usage Tip
Memorize the first quadrant and use symmetry: every other angle mirrors a first-quadrant value with a sign change.
THE MATH
point = (cos θ, sin θ)
x is the cosine, y is the sine, tan = y ÷ x
x is the cosine, y is the sine, tan = y ÷ x
The unit circle has radius 1 centered at the origin. The point at angle theta has coordinates (cosine, sine).
It is the foundation for defining trig functions at any angle.
It is the foundation for defining trig functions at any angle.
Choose degrees or radians.
The x-coordinate is the cosine; the y-coordinate is the sine.
Tangent is undefined where the cosine is zero (90 and 270 degrees).
The x-coordinate is the cosine; the y-coordinate is the sine.
Tangent is undefined where the cosine is zero (90 and 270 degrees).