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Unit Circle
The unit circle is a commonly used tool in trigonometry because it helps the user to remember the special angles and their trigonometric functions. The unit circle is a circle drawn with its center at the origin of a graph(0,0), and with a radius of 1.
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A graph of a circle is formed when an arc is drawn from a fixed point in such a way that any point on the curve is the same distance from the center. A special type of circle is x2 + y2 = r2 where (0, 0) is the origin or center, and r is the radius of the circle.
"The six trigonometric functions are defined as ratios of sides in a right triangle. Their values depend only on the angle and not on any particular right triangle."
- Soh (sin) Cah (cos) Toa (tan)
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We prove this law by creating right triangles to prove the law statement