4.7 (Inverses) Flashcards
What do you get from inverse sine of a ratio?
An angle
What part of the unit circle does inverse sine operate on?
The right half
What side of the unit circle does inverse tan operate on?
The right half
What side of the unit circle does inverse cosine operate on?
The upper half
What is the domain and range of inverse sin?
D: [-1,1]
R: [-π/2,π/2]
What is the domain and range of inverse tan?
D: (-infinity, infinity)
R: (-π/2,π/2)
What is the domain and range of inverse cos?
D: [-1,1]
R: [0,π]
Why is sin of inverse sin of 2 undefined?
2 is not in the domain of inverse sin
What is the domain and range of inverse cosecant?
D: (-infiniti, -1] U [1,infiniti)
R: [-π/2,π/2] y≠0
What is the domain and range of inverse secant?
D: (-infiniti, -1] U [1,infiniti)
R: [0,π] y≠π/2
What is the domain and range of inverse cotangent?
D: (-infiniti, infiniti)
R: (0,π)
What part of the unit circle does inverse cosecant operate on?
The right half
What part of the unit circle does inverse secant operate on?
The top half
What part of the unit circle does inverse cotangent operate on?
The top half
