ch. 2
... When evaluating trigonometric functions of angles given in degrees, remember that the calculator must be set in degree mode. To check if your calculator is in degree mode enter sin 90. The answer should be 1. Remember that most calculator values of trigonometric functions are approximations. ...
... When evaluating trigonometric functions of angles given in degrees, remember that the calculator must be set in degree mode. To check if your calculator is in degree mode enter sin 90. The answer should be 1. Remember that most calculator values of trigonometric functions are approximations. ...
Proofs Toolbox
... If two angles are supplementary to congruent angles then they are congruent. (Congruent angles linking supp statements) If two angles are vertical angles, then they are congruent. If segments are radii of the same circle, then they are congruent. If two sides of a triangle are congruent, then the an ...
... If two angles are supplementary to congruent angles then they are congruent. (Congruent angles linking supp statements) If two angles are vertical angles, then they are congruent. If segments are radii of the same circle, then they are congruent. If two sides of a triangle are congruent, then the an ...
Draw six segments that pass through every dot in the
... p31 MCC912.A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. ...
... p31 MCC912.A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. ...
Week-At-A-Glance - Harrison High School
... Measure exterior angles and sum of exterior angles(worksheet). Power point on int/ext angles. Hw Pg. 300: 2-20 even and wks. 11.1 ...
... Measure exterior angles and sum of exterior angles(worksheet). Power point on int/ext angles. Hw Pg. 300: 2-20 even and wks. 11.1 ...
A. True/False: Given ∥ in the diagram below, determine whether
... Geometry Parallel Lines QR Review ...
... Geometry Parallel Lines QR Review ...
5.5
... Begin by rewriting the equation so that it involves functions of x (rather than 2x). Then factor and solve as usual. 2cos x + sin 2x = 0 2 cos x + 2 sin x cos x = 0 2 cosx(1 + sin x) = 0 ...
... Begin by rewriting the equation so that it involves functions of x (rather than 2x). Then factor and solve as usual. 2cos x + sin 2x = 0 2 cos x + 2 sin x cos x = 0 2 cosx(1 + sin x) = 0 ...
Angles as probabilities
... Almost everyone knows that the inner angles of a triangle sum to 180o . But if you ask the typical mathematician how to sum the solid inner angles over the vertices of a tetrahedron, you are likely to receive a blank stare or a mystified shrug. In some cases you may be directed to the Gram-Euler rel ...
... Almost everyone knows that the inner angles of a triangle sum to 180o . But if you ask the typical mathematician how to sum the solid inner angles over the vertices of a tetrahedron, you are likely to receive a blank stare or a mystified shrug. In some cases you may be directed to the Gram-Euler rel ...
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.