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4.5 - 4.8 Vocabulary: Graphs of Trig. Functions

Name:____________________________________
Date: ____________________________________
Period: ___________________________________
Across
P. 300: To sketch the graphs of the basic sine and cosine functions by hand, it helps to note the five ___ points.
P. 302: The ______ of y = a sinbx and y = a cosbx is given by 2π/b. It is the time it takes for the function to complete one full cycle.
P. 310: The _____ of the tangent function is the set of all real numbers.
P. 320: Inverse sine function is denoted by y = sin^-1 (x), or by y = ______ (x).
P. 320: So on the restricted domain -π/2 to π/2, y = sinx has a unique inverse function called the _______ sine function.
P. 312: The _________ has vertical asymptotes when sinx is zero, which occurs at x = nπ, where n is an integer.
P. 333: A point that moves on a coordinate line is in simple ______ motion when its distance d from the origin at time t is given by either d = a sin ωt or d = a cos ωt where a and ω are real numbers such that ω > 0.
P. 299: The black portion of the graph in Fig. 4.36 represents one period of the function and is called one _____.
P.300: The key points describing where the graph crosses the x-axis are called __________.
P. 299: A cosine _____ starts at the point (0,1).
P. 320: For a function to have an inverse function, it must be one-to-one--that is, it mus pass the __________ Line Test.
P. 300: The key points describing the lowest point on my graph are called the _______ points.
P. 315: You can graph a _______ of two functions using properties of the individual functions.
Down
P. 332: A _______ measures the acute angle that a path or line makes with a fixed north-south line.
P. 303: For y = a sin(bx-c) and y = a cos(bx-c), the number c/b is the _____ shift.
P. 299: A ____ curve starts at the origin (0,0).
P. 333: _________ is the number of cycles per second.
P. 302: The graph of y = -3 cosx is a __________ of the graph of y = 3 cosx, as shown in Fig. 4.39.
P. 310: The graph of y = tanx has vertical __________ at x = π/2 and x = -π/2.
P. 313: At a given value x, the y-coordinate of secx is the __________ of the y-coordinate of cosx.
P. 310: The ______ of the tangent function is the set of all real numbers other than π/2 + nπ.
P. 300: The key points describing the highest point on my graph are called the _______ points.
P. 301: The __________ of y = a sinx and y = a cosx represents half the distance between the maximum and minimum values of the function and is given by |a|.
P. 322: y = arccos (x) or y = cos^-1 (x) is called the inverse ______ function.
P. 315: In the function f(x) = x sinx, the factor x is called the _______ factor.
P. 310: The _______ is undefined for values at which cosx = 0.