PPT-Graph Tangent, Cotangent, Secant and Cosecant

Objective Students will be able to graph and identify the basic trig functions and their graphs with transformations Tangent basic graph is the same as sin and cosine. mc-TY-cosecseccot-2009-1 Inthisunitweexplainwhatismeantbythethreetrigonometricratioscosecant,secantandcotangent.Weseehowtheycanappearintrigonometricidentitiesandinthesolutionoftrigonometricalequations Section . 3.3. Rates of Change. Average vs. Instantaneous Rates. Average Speed. The concept of speed (distance traveled divided by time traveled) is a familiar instance of a . rate of change. .. Example: To drive the 15.5 miles from Clayton State to Turner field, it takes 18 minutes.. Circles and Lengths of Segments. Geometry Honors. What and Why. What?. Find the lengths of segments associated with circles.. Why?. To use the lengths of segments associated with circles in real-world applications such as architecture.. Learning Goals:. Graphs of the Cosecant, Secant, and Cotangent Functions. Graph transformations . When you think about the . csc. , sec, and cot graphs what do you think about?. Graph of the Cosecant Function. Tangent Lines. Average Rate of Change. The . average rate of change. of a quantity over a period of time is the slope on that interval of time.. Ex.:. . Find the average rate of change of . f(x) = x. 9.5 . Tangents to Circles. Objectives. Identify segments and lines related to circles.. Use properties of a tangent to a circle. .. Some definitions you need. Circle. – set of all points in a plane that are . Slope is the rate of change . or. . . Secant slope. the slope between two points. . tangent slope. the slope at one point of contact. and is based upon a limit.. Noun: derivative. Verb: differentiation or to. RULE 1. If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other. Explanation for Rule 1:. Intersecting Chords Rule:. Find the equations of tangents at given points. Find the points on the curve if tangent slope is known. Find equations of tangents . parallel. to given lines through a given point.. Find equations of tangents . A brief journey into Section . 4.5a. Analysis of the Tangent Function. by. Domain: All . reals. except odd. multiples of. Range:. Continuous on its domain. Increasing on each interval in. i. ts domain. Goals for today:. Graph sine, cosine and tangent graphs by hand. Identify areas of increase/decrease/positive/negative on graphs of trig functions. Accurately identify amplitude and midline of a trigonometric graph or function. 3.2. Calculus AP/Dual, Revised ©2017. viet.dang@humbleisd. .net. . . 6/23/2018 3:32 PM. §3.2: Mean Value Theorem. 1. Activity. Draw a curve . on a separate sheet of paper within a defined closed interval . Learning Target: . I can review properties of angles and segments in circles to determine their measure and length.. Agenda:. Do Now. Embedded Assessment Self-Assess. Circles Properties Review. Independent Practice. . . as .  . Secant Line and Tangent Line. Slope of secant line . Slope of tangent line as .  . is.  . the derivative of . at . t. he instantaneous rate of change of . at .