Chapter 9 Test Flashcards
f(f^-1(x)) = ?
x
What is the domain and range of sin^-1(x)?
D: [-1,1]
R: [-π/2, π/2]
If sin^-1 is on the outside, the answer must on the interval…
[-π/2, π/2]
If sin is on the outside, the answer mush be on the interval…
[-1,1]
What is the domain and range of cos^-1(x)?
D: [-1,1]
R: [0,π]
If cos^-1 is on the outside, the answer must be on the interval…
[0,π]
If cos is on the outside, the answer must be on the interval…
[-1,1]
What is the domain and range of tan^-1(x)?
D: (-∞,∞)
R: (-π/2,π/2)
If tan^-1 is on the outside, the answer must be on the interval…
(-π/2,π/2)
If tan is on the outside, the answer must be on the interval…
(-∞,∞)
cos(x) = # x1 = ?, x2 = ?
x1 = cos^-1(#) x2 = 2pi - x1
sin(x) = # x1 = ?, x2 = ?
x1 = sin^-1(#) x2 = pi - x1
tan(x) = # x1 = ?, x2 = ?
x1 = tan^-1(#) x2 = pi + x1
sin(90 - x) = ?
cos(x)
sin(π/2 - x) = ?
cos(x)
tan(90 - x) = ?
cot(x)
tan(π/2 - x) = ?
cot(x)
sec(90 - x) = ?
csc(x)
sec(π/2 - x) = ?
csc(x)
cos(90 - x) = ?
sin(x)
cos(π/2 - x) = ?
sin(x)
cot(90 - x) = ?
tan(x)
cot(π/2 - x) = ?
tan(x)
csc(90 - x) = ?
sec(x)
csc(π/2 - x) = ?
sce(x)
cos(-x) = ?
cos(x)
sec(-x) = ?
sec(x)
sin(-x) = ?
-sin(x)
tan(-x) = ?
-tan(x)
csc(-x) = ?
-csc(x)
cot(-x) = ?
-cot(x)
