Ch. 2 - Graphs of the Trigonometric Functions; Inverse Trigonometric Functions
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Blitzer 3rd EditionCh. 2 - Graphs of the Trigonometric Functions; Inverse Trigonometric Functions
Blitzer 3rd EditionCh. 2 - Graphs of the Trigonometric Functions; Inverse Trigonometric Functions- 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.
Problem 27
Problem 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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- In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. sin⁻¹ (-0.32)
Problem 29
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 3 csc x
Problem 29
Problem 30
Graph two periods of the given cosecant or secant function.
y = 2 csc x
- In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. cos⁻¹ 3/8
Problem 31
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 1/2 csc x/2
Problem 31
- In Exercises 29–51, find the exact value of each expression. Do not use a calculator. _ sin⁻¹ (− √3/2)
Problem 32
- In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. _ cos⁻¹ √5/7
Problem 33
- In Exercises 29–51, find the exact value of each expression. Do not use a calculator. cos⁻¹ (− 1/2)
Problem 33
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 2 sec x
Problem 33
Problem 34
Graph two periods of the given cosecant or secant function.
y = 3 sec x
- In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. tan⁻¹ (−20)
Problem 35
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = sec x/3
Problem 35
Problem 36
Graph two periods of the given cosecant or secant function.
y = sec x/2
- In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places. ___ tan⁻¹ (−√473)
Problem 37
- In Exercises 29–51, find the exact value of each expression. Do not use a calculator. sec⁻¹ (−1)
Problem 37
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = −2 csc πx
Problem 37
- In Exercises 39–54, find the exact value of each expression, if possible. Do not use a calculator. sin(sin⁻¹ 0.9)
Problem 39
- In Exercises 29–51, find the exact value of each expression. Do not use a calculator. _ cos(sin⁻¹ √2/2)
Problem 39
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = −1/2 sec πx
Problem 39
- In Exercises 29–51, find the exact value of each expression. Do not use a calculator. tan[sin⁻¹ (− 1/2)]
Problem 41
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = csc(x − π)
Problem 41
- In Exercises 39–54, find the exact value of each expression, if possible. Do not use a calculator. sin⁻¹ (sin 5π/6)
Problem 43
- In Exercises 29–51, find the exact value of each expression. Do not use a calculator. _ csc(tan⁻¹ √3/3)
Problem 43
- In Exercises 29–44, graph two periods of the given cosecant or secant function. y = 2 sec(x + π)
Problem 43
Problem 44
Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.
y = cos(x + π/2)
- In Exercises 39–54, find the exact value of each expression, if possible. Do not use a calculator. tan (tan⁻¹ 125)
Problem 45
- In Exercises 29–51, find the exact value of each expression. Do not use a calculator. sin(cos⁻¹ 3/5)
Problem 45
Problem 46
Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.
y = 4 cos(2x − π)