Work Outline - Bream Bay College
... intersection with the tangent to the circle is defined as tanθ (the red line). The basic graph of any function can be transformed using reflections, changes of scale and translations. This work was covered in the Level 2 graphs achievement standard. We are now looking at the effect of these transfor ...
... intersection with the tangent to the circle is defined as tanθ (the red line). The basic graph of any function can be transformed using reflections, changes of scale and translations. This work was covered in the Level 2 graphs achievement standard. We are now looking at the effect of these transfor ...
4.6 Practice with Examples
... If two sides of a triangle are congruent, then the angles opposite them are congruent. Theorem 4.7 Converse of the Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent. Corollary to Theorem 4.6 If a triangle is equilateral, then it is equiangular. ...
... If two sides of a triangle are congruent, then the angles opposite them are congruent. Theorem 4.7 Converse of the Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent. Corollary to Theorem 4.6 If a triangle is equilateral, then it is equiangular. ...
Geometry Chapter 1 – The Basics of Geometry
... Bisect a segment and bisect an angle - Solve problems in geometry & real life such as the angles of a kite. ...
... Bisect a segment and bisect an angle - Solve problems in geometry & real life such as the angles of a kite. ...
Chapter 1.1-1.3 - Fulton County Schools
... The intersection of two lines is a point. The intersection of two planes is a line. Through any two points there is exactly one line. Through any three non collinear points there is exactly one plane. If two points are in a plane, then the line containing them is in a plane. ...
... The intersection of two lines is a point. The intersection of two planes is a line. Through any two points there is exactly one line. Through any three non collinear points there is exactly one plane. If two points are in a plane, then the line containing them is in a plane. ...
Chapter7 Triangle Inequalities
... Theorem 7-7: if the measures of the angles of a triangle are unequal, then the measures of the opposite sides are unequal in the same order of size. Theorem 7-8: in a right angle, the hypotenuse is the side with the greatest measure. Bookwork: page 293; problems 9-25 ...
... Theorem 7-7: if the measures of the angles of a triangle are unequal, then the measures of the opposite sides are unequal in the same order of size. Theorem 7-8: in a right angle, the hypotenuse is the side with the greatest measure. Bookwork: page 293; problems 9-25 ...
Geometry Georgia Performance Standards
... Perpendicular lines are lines that intersect or cross and form right angles. ...
... Perpendicular lines are lines that intersect or cross and form right angles. ...
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.