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Geometry

Unit circle

Subject: 
Trigonometry
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In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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Unit circle

Subject: 
Trigonometry
Rating: 
0
No votes yet
SocialTags: 
Geometry
Trigonometry
Circles
Conic sections
Curves
Spheres
Unit circle
Generalized trigonometry
Pi
N-sphere
CNote
n mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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Inverses of Trigonometric Ratios

Subject: 
Algebra
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Triangles
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Euclidean geometry
Triangle geometry
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Euclidean plane geometry
Triangle
Trigonometric functions
Special right triangles
Right triangle
Ratio
Inverses of Trigonometric Ratios You've learned how to use trig ratios to solve right triangles, finding the lengths of the sides of triangles. But what if you have the sides, and need to find the angles? You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse trig" values are all about. If you look at your calculator, you should see, right above the "SIN", "COS", "TAN" buttons, notations along the lines of "SIN–1", "COS–1", and "TAN–1", or possibly "ASIN", "ACOS", and "ATAN". These are what you'll use to find angles from ratios.

geometry formulas

Subject: 
Geometry
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Quadrilaterals
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Area
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Perimeter
Square
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Rectangle: rectangle-image Perimeter = l + l + w + w = 2 × l + 2 × w Area = l × w Square: square-image Perimeter = s + s + s + s = 4 × s Area = s2 Parallelogram: parallelogram-image Perimeter = a + a + b + b = 2 × a + 2 × b Area = b × h Rhombus: Rhombus-image Perimeter = b + b + b + b = 4 × b Area = b × h Triangle: Triangle-image Perimeter = a + b + c Area = (b × h)/2 Trapezoid: Trapezoid-image Perimeter = a + b + c + d Trapezoid-formula-image Circle: Circle-image Perimeter = 2 × pi × r or Perimeter = pi × d Area = pi × r2 or Area = (pi × d2)/4

Definition and Domain of Rational Functions

Subject: 
Calculus
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Definition and Domain of Rational Functions A rational function is defined as the quotient of two polynomial functions. f(x) = P(x) / Q(x) Here are some examples of rational functions: g(x) = (x2 + 1) / (x - 1) h(x) = (2x + 1) / (x + 3) The rational functions to explored in this tutorial are of the form f(x) = (ax+b)/(cx + d) where a, b, c and d are parameters that may be changed, using sliders, to understand their effects on the properties of the graphs of rational functions defined above. Example: Find the domain of each function given below. g(x) = (x - 1) / (x - 2) h(x) = (x + 2) / x Solution

Geometry Cheat Sheet

Subject: 
Geometry
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Euclidean geometry
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Theorems, Conjectures, & Postulates Triangle Theorems Triangle Sum Theorem- The sum of the measures of the angles in every triangle is 180? Exterior Angle Theorem- The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. Corollary to the Triangle Sum Theorem- In a right triangle, the acute angles are complementary. Base Angles Theorem ? If two sides of a triangle are congruent, then the angles opposite them are congruent. Converse of Base Angles Theorem ? If two angles of a triangle are congruent, the sides opposite them are congruent. Corollary to the Base Angle Theorem ? If a triangle is equilateral, then it?s equiangular.

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