Unit Circle Inverse Functions- Trigonometric functions (Sin, Cos, Tan)
What is the domain for arcos?
-1 to 1
What is the domain for arcsin?
-1 to 1
What is the range for cos?
-1 to 1
What is the range for sin?
-1 to 1
Cos^-1 (1)
0
Cos^-1 ((√2)/2)
45 or π/4
Sin^-1 ((√2)/2)
45 or π/4
What is the domain for arctan?
all real numbers
What is the domain for cos?
all real numbers
What is the domain for sin?
all real numbers
What is the range for arctan?
-π/2 < x < π/2 *cannot be equal to those values (und)
Tan^-1 (1)
45 or π/4
What is the range for arcsin?
-π/2 to π/2
Sin^-1 (0)
0
Tan^-1 (0)
0
What is the range for arccos?
0 to π
What quadrants on the unit circle are points for the graph of arccos from?
1st and 2nd
What quadrants on the unit circle are points for the graph of arcsin from?
1st and 4th
What quadrants on the unit circle are points for the graph of arctan from?
1st and 4th
Cos^-1 ((√3)/2)
30 or π/6
Sin^-1 (1/2)
30 or π/6
Tan^-1 ((√3)/3)
30 or π/6
Cos^-1 (1/2)
60 or π/3
Sin^-1 ((√3)/2
60 or π/3
Tan^-1 (√3)
60 or π/3
Cos^-1 (0)
90 or π/2
Sin^-1 (1)
90 or π/2
Tan^-1 (undefined)
90 or π/2
What is the range for tan?
all real numbers
What is the domain for tan?
x ≠ π/2 k