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4.1.4: The Unit Circle - Mathematics LibreTexts
https://math.libretexts.org/Courses/City_University_of_New_York/College_Algebra_and_Trigonometry-_Expressions_Equations_and_Graphs/04%3A_Introduction_to_Trigonometry_and_Transcendental_Expressions/4.01%3A_Trigonometric_Expressions/4.1.04%3A_The_Unit_Circle
WEBUNIT CIRCLE. A unit circle has a center at (0, 0) and radius 1 . Form the angle with measure t with initial side coincident with the x -axis. Let (x, y) be point where the terminal side of the angle and unit circle meet. Then (x, y) = (cos t, sin t) . Further, tan t = sin t cos t.
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Unit circle (video) | Trigonometry | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:unit-circle/v/unit-circle-definition-of-trig-functions-1
WEBUsing the unit circle diagram, draw a line “tangent” to the unit circle where the hypotenuse contacts the unit circle. This line is at right angles to the hypotenuse at the unit circle and touches the unit circle only at that point (the tangent point). Extend this tangent line to …
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Unit Circle - Math is Fun
https://www.mathsisfun.com/geometry/unit-circle.html
WEBtan (30°) = sin (30°) cos (30°) = 1/2 √3/2 = 1 √3 = √3 3 *. tan (45°) = sin (45°) cos (45°) = √2/2 √2/2 = 1. tan (60°) = sin (60°) cos (60°) = √3/2 1/2 = √3. * Note: writing 1 √3 may cost you marks so use √3 3 instead (see Rational Denominators to learn more).
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Unit circle - Wikipedia
https://en.wikipedia.org/wiki/Unit_circle
WEBIn mathematics, a unit circle is a circle of unit radius —that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.
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Trig unit circle review (article) | Khan Academy
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:trig/x2ec2f6f830c9fb89:unit-circle/a/trig-unit-circle-review
WEBThe unit circle has a radius of one, so the hypotenuse is 1. Sine is opposite over hypotenuse. Since the hypotenuse is 1, sine on the unit circle is the opposite side. When you look at the unit circle, the opposite side is perpendicular to the x-axis.
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Trigonometric functions | Trigonometry | Math | Khan Academy
https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func
WEBDiscover how to measure angles, distances, and heights using trigonometric ratios and the unit circle. Learn how to use sine, cosine, and tangent to solve real-world problems involving triangles and circular motion.
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Introduction to the unit circle | Trigonometry | Khan Academy
https://www.youtube.com/watch?v=1m9p9iubMLU
WEBNov 19, 2012 · Introduction to the unit circle | Trigonometry | Khan Academy - YouTube. Fundraiser. Khan Academy. 8.36M subscribers. Subscribed. 10K. 1.7M views 11 years ago Precalculus | Get Ready for Grade...
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Unit Circle - Equation of a Unit Circle | Unit Circle Chart - Cuemath
https://www.cuemath.com/geometry/unit-circle/
WEBA unit circle is formed with its center at the point(0, 0), which is the origin of the coordinate axes. and a radius of 1 unit. Hence the equation of the unit circle is (x - 0) 2 + (y - 0) 2 = 1 2. This is simplified to obtain the equation of a unit …
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Unit Circle -- from Wolfram MathWorld
https://mathworld.wolfram.com/UnitCircle.html
WEB6 days ago · A unit circle is a circle of unit radius, i.e., of radius 1. The unit circle plays a significant role in a number of different areas of mathematics. For example, the functions of trigonometry are most simply defined using the unit circle.
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Unit Circle - Math.net
https://www.math.net/unit-circle
WEBWhat is the unit circle. In trigonometry, the unit circle is a circle with of radius 1 that is centered at the origin of the Cartesian coordinate plane. The unit circle helps us generalize trigonometric functions, making it easier for us to work with them since it lets us find sine and cosine values given a point on the unit circle.
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