1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Domain and Range of Trigonometric Ratios
If value of ...
Question
If value of
x
which satisfy equation:
sin
−
1
[
sin
(
2
x
2
+
4
1
+
x
2
)
]
<
π
−
3
is
−
a
<
x
<
b
.
Find the value of
a
+
b
.
A
−
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
−
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
0
Given,
sin
−
1
[
sin
(
2
x
2
+
4
1
+
x
2
)
]
<
π
−
3
(i)
2
x
2
+
4
1
+
x
2
=
2
x
2
+
2
+
2
1
+
x
2
=
2
+
2
1
+
x
2
Now
2
+
2
1
+
x
2
ϵ
(
2
,
4
]
Therefor, Eq. (i) reduces to
π
−
2
x
2
+
4
1
+
x
2
<
π
−
3
2
x
2
+
4
1
+
x
2
>
3
2
x
2
+
4
>
3
+
3
x
2
x
2
−
1
<
0
−
1
<
x
<
1
Suggest Corrections
0
Similar questions
Q.
If value of
x
which satisfy equation
sin
−
1
2
x
1
+
x
2
=
tan
−
1
2
x
1
−
x
2
, is
−
a
<
x
<
b
.
Find the value of
a
+
b
Q.
If value of x which satisfy equation
sin
−
1
x
>
−
1
is
x
ϵ
(
a
,
b
]
.
Find the value of
a
+
b
.
Q.
Find the value of
x
which satisfy this inequality:
∣
∣
∣
π
2
−
sin
−
1
(
1
−
x
2
1
+
x
2
)
∣
∣
∣
≤
π
3
Q.
If value of x which satisfy equation
(
cot
−
1
x
)
2
−
3
(
cot
−
1
x
)
+
2
>
0
is
x
<
cot
a
or
x
>
cot
b
.
Find the value of
a
+
b
.
Q.
If value of x which satisfy equation
cos
−
1
x
>
cos
−
1
x
2
is
x
ϵ
[
a
,
b
)
.
Find the value of a and b.
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
MATHEMATICS
Watch in App
Explore more
Domain and Range of Trigonometric Ratios
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
AI Tutor
Textbooks
Question Papers
Install app