Chapter 9 Test Flashcards
1
Q
f(f^-1(x)) = ?
A
x
2
Q
What is the domain and range of sin^-1(x)?
A
D: [-1,1]
R: [-π/2, π/2]
3
Q
If sin^-1 is on the outside, the answer must on the interval…
A
[-π/2, π/2]
4
Q
If sin is on the outside, the answer mush be on the interval…
A
[-1,1]
5
Q
What is the domain and range of cos^-1(x)?
A
D: [-1,1]
R: [0,π]
6
Q
If cos^-1 is on the outside, the answer must be on the interval…
A
[0,π]
7
Q
If cos is on the outside, the answer must be on the interval…
A
[-1,1]
8
Q
What is the domain and range of tan^-1(x)?
A
D: (-∞,∞)
R: (-π/2,π/2)
9
Q
If tan^-1 is on the outside, the answer must be on the interval…
A
(-π/2,π/2)
10
Q
If tan is on the outside, the answer must be on the interval…
A
(-∞,∞)
11
Q
cos(x) = # x1 = ?, x2 = ?
A
x1 = cos^-1(#) x2 = 2pi - x1
12
Q
sin(x) = # x1 = ?, x2 = ?
A
x1 = sin^-1(#) x2 = pi - x1
13
Q
tan(x) = # x1 = ?, x2 = ?
A
x1 = tan^-1(#) x2 = pi + x1
14
Q
sin(90 - x) = ?
A
cos(x)
15
Q
sin(π/2 - x) = ?
A
cos(x)
