A Geometry WebQuest
... The following is a list of some of the geometric concepts we will discuss in class. Your job is to find the formal/mathematical definition of each term. Once a definition has been found, it is your job to copy down the definition on your own paper and cite in parenthesis from what website the defini ...
... The following is a list of some of the geometric concepts we will discuss in class. Your job is to find the formal/mathematical definition of each term. Once a definition has been found, it is your job to copy down the definition on your own paper and cite in parenthesis from what website the defini ...
The Unit Circle Definition of Trig Functions
... a triangle that has a negative angle (that’d be like drawing a negative distance!) we can’t draw a right triangle that has an angle of more than 90 degrees in it. can we even take the sine/cosine/tangent of these angles? extend definition of exponents extend definition of trig functions! some sort o ...
... a triangle that has a negative angle (that’d be like drawing a negative distance!) we can’t draw a right triangle that has an angle of more than 90 degrees in it. can we even take the sine/cosine/tangent of these angles? extend definition of exponents extend definition of trig functions! some sort o ...
PDF
... The following theorem holds in geometries in which isosceles triangle can be defined and in which SSS, AAS, and SAS are all valid. Specifically, it holds in Euclidean geometry and hyperbolic geometry (and therefore in neutral geometry). Theorem 1 (Isosceles Triangle Theorem). Let 4ABC be an isoscele ...
... The following theorem holds in geometries in which isosceles triangle can be defined and in which SSS, AAS, and SAS are all valid. Specifically, it holds in Euclidean geometry and hyperbolic geometry (and therefore in neutral geometry). Theorem 1 (Isosceles Triangle Theorem). Let 4ABC be an isoscele ...
Unit Circle - Ms. Huls` Math
... triangles; 30-60-90 and 45-45-90. When working with trigonometric ratios you will commonly refer to the special right triangles to identify the ratio of the side lengths. ...
... triangles; 30-60-90 and 45-45-90. When working with trigonometric ratios you will commonly refer to the special right triangles to identify the ratio of the side lengths. ...
Class Notes Trigonometry
... Exact values of the trig ratios can be found for certain special angles: 0, 30, 45, 60, 90 (future lesson). For most purposes, decimal approximations are good enough. Your calculator can find approximations for the trig function ratios for any angle. ...
... Exact values of the trig ratios can be found for certain special angles: 0, 30, 45, 60, 90 (future lesson). For most purposes, decimal approximations are good enough. Your calculator can find approximations for the trig function ratios for any angle. ...
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.