Title of Lesson: Introducing Lines Cut By a Transversal Subject
... Introductory Activity: In the beginning of class, old material that leads into the lesson is reviewed. Supplementary angles are discussed in terms of giving one angle and finding the missing angle. Parallel lines are reviewed by considering same direction and same slope continuously throughout and t ...
... Introductory Activity: In the beginning of class, old material that leads into the lesson is reviewed. Supplementary angles are discussed in terms of giving one angle and finding the missing angle. Parallel lines are reviewed by considering same direction and same slope continuously throughout and t ...
Document
... I have exactly 2 lines of symmetry. All of my sides are congruent. If you cut me in half from one vertex to the opposite vertex, you would have 2 triangles. What is my name? ...
... I have exactly 2 lines of symmetry. All of my sides are congruent. If you cut me in half from one vertex to the opposite vertex, you would have 2 triangles. What is my name? ...
Appendix 1
... this more correctly as “the degree-measure” of an angle. • We take it that the definitions of parallelism, perpendicularity and “sidedness” are readily extended from lines to half-lines and line segments. (Hence, for example, we may refer to the opposite sides of a particular quadrilateral as being ...
... this more correctly as “the degree-measure” of an angle. • We take it that the definitions of parallelism, perpendicularity and “sidedness” are readily extended from lines to half-lines and line segments. (Hence, for example, we may refer to the opposite sides of a particular quadrilateral as being ...
EXPLORATION: Intercepted and Inscribed Arc
... EXAMPLES: Use the diagram to respond to the following statements: ...
... EXAMPLES: Use the diagram to respond to the following statements: ...
angle of depression
... The angle of depression from the plane to a control tower is 15°. What is the horizontal distance from the plane to the tower? Round to the nearest foot. 54,115 ft 4. A woman is standing 12 ft from a sculpture. The angle of elevation from her eye to the top of the sculpture is 30°, and the angle of ...
... The angle of depression from the plane to a control tower is 15°. What is the horizontal distance from the plane to the tower? Round to the nearest foot. 54,115 ft 4. A woman is standing 12 ft from a sculpture. The angle of elevation from her eye to the top of the sculpture is 30°, and the angle of ...
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.