The function cot − 1 x is defined to be the inverse of the restricted cotangent function cot x , 0 < x < π and the function csc − 1 x is defined to be the inverse of the restricted cosecant function csc x , − π / 2 ≤ x ≤ π / 2 , x ≠ 0 Use these definitions in these and in all subsequent exercises that involve these functions. (a) Sketch the graphs of cot − 1 x and csc − 1 x . (b) Find the domain and range of cot − 1 x and csc − 1 x .
The function cot − 1 x is defined to be the inverse of the restricted cotangent function cot x , 0 < x < π and the function csc − 1 x is defined to be the inverse of the restricted cosecant function csc x , − π / 2 ≤ x ≤ π / 2 , x ≠ 0 Use these definitions in these and in all subsequent exercises that involve these functions. (a) Sketch the graphs of cot − 1 x and csc − 1 x . (b) Find the domain and range of cot − 1 x and csc − 1 x .
The function
cot
−
1
x
is defined to be the inverse of the restricted cotangent function
cot
x
,
0
<
x
<
π
and the function
csc
−
1
x
is defined to be the inverse of the restricted cosecant function
csc
x
,
−
π
/
2
≤
x
≤
π
/
2
,
x
≠
0
Use these definitions in these and in all subsequent exercises that involve these functions.
(a) Sketch the graphs of
cot
−
1
x
and
csc
−
1
x
.
(b) Find the domain and range of
cot
−
1
x
and
csc
−
1
x
.
Precalculus: Mathematics for Calculus (Standalone Book)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY