PPT-7.2 Graphs of the Cosecant, Secant, and Cotangent Functions

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. We prove that the intersection of at least n su64259ciently ample general hypersurfaces in a complex abelian variety of dimension has ample cotangent bundle We also discuss analogous questions for complete intersections in the projective space Final mc-TY-cosecseccot-2009-1 Inthisunitweexplainwhatismeantbythethreetrigonometricratioscosecant,secantandcotangent.Weseehowtheycanappearintrigonometricidentitiesandinthesolutionoftrigonometricalequations 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.. Exponential Functions & Their Graphs. Logarithmic Functions & Their Graphs. Properties of Logarithms . Exponential and Logarithmic Equations. Exponential and Logarithmic Models. a. b.. BSRLM discussion. March 12. th. 2011. Institute of Education. Why equations, graphs and functions. What’s the same and what’s different?. Equations. A=1/2bh . v. 2. - u. 2. = 2as . y = 2x+5 . 3x - 5=9 - 2x . 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. 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. 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. How do the value of . a. , . h. , and . k. , affect the graph of the absolute value function . ?. Students will be able to translate graphs of absolute value functions.. Students will be able to . stretch, shrink and reflect graphs of absolute value functions.. Sinusoidal Graphs. Sinusoidal Graphs. Periodic Function. Graphs of sine and cosine functions.. Functions whose graphs have a repeating pattern.. Period. The horizontal length of each cycle in a periodic graph.. Objective: . Recognize the shape of basic polynomial functions. Describe the graph of a polynomial function. Identify properties of general polynomial functions: Continuity, End Behaviour, Intercepts, Local . transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine. Graphs in words.. CO: SWBAT generate the graphs of the sine and cosine functions and explore various . transformations of these graphs. LO: SWBAT state the transformations of the sine and cosine. Ming Chuang. 1. , . Linjie. Luo. 2. , Benedict Brown. 3. ,. Szymon. Rusinkiewicz. 2. , and . Misha. Kazhdan. 1. 1. Johns Hopkins University . 2. Princeton University. 3. Katholieke. . Universiteit. All slides in this presentations are based on the book Functions, Data and Models, S.P. Gordon and F. S Gordon. ISBN 978-0-88385-767-0. Functions in the Real World. What are the two variables? . Which one depends on which? .