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Section 14.1
Section 14.1

7th Math Accelerated Unit 4 - Livingston County School District
7th Math Accelerated Unit 4 - Livingston County School District

... Describe the effects of dilations, translations, rotations, & reflections on 2-D figures using coordinates. 8.G.4 Understand that a twodimensional figure is similar to another if the second can be obtained ...
Solution - Math KSU - Kansas State University
Solution - Math KSU - Kansas State University

angle - Humble ISD
angle - Humble ISD

... An angle is a figure formed by two rays, or sides, with a common endpoint called the vertex (plural: vertices). You can name an angle several ways: by its vertex, by a point on each ray and the vertex, or by a number. ...
8th Grade
8th Grade

... Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle8.G.A.5 angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the s ...
Summer 2015 Dear Students, The class you are scheduled for next
Summer 2015 Dear Students, The class you are scheduled for next

7-5 - DArmitage
7-5 - DArmitage

... A triangle is a closed figure with three line segments and three angles. Triangles can be classified by the measures of their angles. An acute triangle has only acute angles. An obtuse triangle has one obtuse angle. A right triangle has one right angle. ...
4F Mastering Triangles
4F Mastering Triangles

COSMETOLOGY MATH - Van Buren Intermediate School District
COSMETOLOGY MATH - Van Buren Intermediate School District

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UNIT 33

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Name

... 7. The expressions (3x + 63)° and (7x – 45)° represent the measures of two angles of a regular decagon. Find the measure of an angle of the decagon. ...
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key_terms_and_definitions

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Pre-Class Problems 9

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Grade 5 Unit 5 Standards Clarification For Parents

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1 - Quia

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Chapter 1 - Humble ISD

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Lesson 1 Contents - Headlee's Math Mansion

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Geometry Name Additional Postulates, Theorems, Definitions, and

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4-1 Classifying Triangles

POWERPOINT JEOPARDY
POWERPOINT JEOPARDY

... Suppose the measure of an angle is 49°. What is the measure of its complementary angle? Draw them. (40 Pts.) Complementary angles add up to 90°. The complementary angle is 90 - 49° = 41°. ...
Pages 157-170
Pages 157-170

4 - Garnet Valley School District
4 - Garnet Valley School District

... The very useful result of the proof above is the “Triangle Sum” Theorem (Interior) Triangle Sum – The three (interior) angles of any triangle add to 180o. This sets up a second thing to be aware of. Every EQUIANGULAR TRIANGLE is an ACUTE TRIANGLE… Explain: ___________________________________________ ...
MA 3330 Practice Final Answers in red Name April 24, 2009 1. True
MA 3330 Practice Final Answers in red Name April 24, 2009 1. True

second part of the second class project
second part of the second class project

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Trigonometric functions



In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used, for instance, in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year.In modern usage, there are six basic trigonometric functions, tabulated here with equations that relate them to one another. Especially with the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically, or by other means, and then derive these relations.
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