1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Global Maxima
Domain and Ra...
Question
Domain and Range of the inverse hyperbolic sine function is R.
A
True
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
False
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
True
sinh
x
=
e
x
−
e
−
x
2
∵
There is no discontinuity in graph. So domain
=
x
∈
R
and range
=
y
∈
R
Suggest Corrections
0
Similar questions
Q.
What is the Domain and Range of inverse hyperbolic tangent function?
Q.
What is the Domain and Range of inverse hyperbolic cosine function?
Q.
There are six trigonometric and six inverse trigonometric functions. Similarly there are six hyperbolic function defined as follows:
The quantity
e
x
−
e
−
x
2
where
x
ϵ
R
is called hyperbolic sine of
x
and is written as
sinh
x
,
cosh
x
=
e
x
+
e
−
x
2
called as hyperbolic cos
x
and hyperbolic tan of
x
is written as
tanh
x
=
sinh
x
cosh
x
,
cosech
x
=
1
sinh
x
,
coth
x
=
1
tanh
x
.
Which of the following is many one ?
Q.
The slope of the hyperbolic cosine function is equal to the hyperbolic sine function.State true or false
Q.
The slope of the hyperbolic sine function is equal to the hyperbolic cosine function.State true or false.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Extrema
MATHEMATICS
Watch in App
Explore more
Global Maxima
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app