Blitzer 3rd Edition
Ch. 2 - Graphs of the Trigonometric Functions; Inverse Trigonometric Functions문제 66
In Exercises 61–66, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 2π. y = cos x + sin 2x
문제 68
In Exercises 67–68, use the method of adding y-coordinates to graph each function for 0 ≤ x ≤ 4. y = cos πx + sin π/2 x
문제 75
In Exercises 75–78, graph one period of each function. y = |2 cos x/2|
문제 77
In Exercises 75–78, graph one period of each function. y = −|3 sin πx|
문제 80
In Exercises 79–82, graph f, g, and h in the same rectangular coordinate system for 0 ≤ x ≤ 2π. Obtain the graph of h by adding or subtracting the corresponding y-coordinates on the graphs of f and g. f(x) = 2 cos x, g(x) = cos 2x, h(x) = (f + g)(x)
문제 82
In Exercises 79–82, graph f, g, and h in the same rectangular coordinate system for 0 ≤ x ≤ 2π. Obtain the graph of h by adding or subtracting the corresponding y-coordinates on the graphs of f and g. f(x) = cos x, g(x) = sin 2x, h(x) = (f − g)(x)
문제 1
The graph of a tangent function is given. Select the equation for each graph from the following options: y = tan(x + π/2), y = tan(x + π), y= -tan x, y = −tan(x − π/2).
문제 3
The graph of a tangent function is given. Select the equation for each graph from the following options: y = tan(x + π/2), y = tan(x + π), y = -tan x, y = −tan(x − π/2).
문제 5
Graph two periods of the given tangent function. y = 3 tan x/4
문제 9
Graph two periods of the given tangent function. y = −2 tan (1/2) x
문제 12
Graph two periods of the given tangent function. y = tan(x − π/4)
문제 13
The graph of a cotangent function is given. Select the equation for each graph from the following options: y = cot(x + π/2), y = cot(x + π), y = −cot x, y= −cot(x − π/2).
문제 17
In Exercises 17–24, graph two periods of the given cotangent function. y = 2 cot x
문제 19
In Exercises 17–24, graph two periods of the given cotangent function. y = 1/2 cot 2x
문제 21
In Exercises 17–24, graph two periods of the given cotangent function. y = −3 cot π/2 x
문제 23
In Exercises 17–24, graph two periods of the given cotangent function. y = 3 cot(x + π/2)
문제 25
In Exercises 25–28, use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.
문제 26
Use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.
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문제 27
In Exercises 25–28, use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.
문제 28
Use each graph to obtain the graph of the corresponding reciprocal function, cosecant or secant. Give the equation of the function for the graph that you obtain.
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문제 29
In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 3 csc x
문제 30
Graph two periods of the given cosecant or secant function.
y = 2 csc x
문제 31
In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 1/2 csc x/2
문제 33
In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 2 sec x
문제 34
Graph two periods of the given cosecant or secant function.
y = 3 sec x
문제 35
In Exercises 29–44, graph two periods of the given cosecant or secant function. y = sec x/3
문제 36
Graph two periods of the given cosecant or secant function.
y = sec x/2
문제 37
In Exercises 29–44, graph two periods of the given cosecant or secant function. y = −2 csc πx
문제 39
In Exercises 29–44, graph two periods of the given cosecant or secant function. y = −1/2 sec πx
문제 41
In Exercises 29–44, graph two periods of the given cosecant or secant function. y = csc(x − π)