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Byju's Answer
Standard XII
Mathematics
Domain and Range of Basic Inverse Trigonometric Functions
Find x, if ...
Question
Find x, if
tan
−
1
3
+
cot
−
1
x
=
π
2
.
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Solution
t
a
n
−
1
x
+
c
o
t
−
1
x
=
π
2
for any real number x
Since
t
a
n
−
1
3
+
c
o
t
−
1
x
=
π
2
,
⇒
x
=
3
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0
Similar questions
Q.
If
cot
−
1
x
+
tan
−
1
3
=
π
2
, then
x
=
Q.
cot
-1
(x) + tan
-1
(3) = π/2 , then x = ?
Q.
Find the value of x which satisfy equation
cot
−
1
x
+
tan
−
1
3
=
π
2
Q.
Assertion :
cosec
−
1
(
3
/
2
)
+
cos
−
1
(
2
/
3
)
−
2
cot
−
1
(
1
/
7
)
−
cot
−
1
7
is equal to
cot
−
1
7
Reason:
sin
−
1
x
+
cos
−
1
x
=
π
/
2
,
tan
−
1
x
+
cot
−
1
x
=
π
/
2
,
cosec
−
1
x
=
sin
−
1
(
1
/
x
)
,
cot
−
1
(
1
/
x
)
=
tan
−
1
(
x
)
,
cot
−
1
(
x
)
=
tan
−
1
(
1
/
x
)
Q.
Assertion :If
x
<
0
,
tan
−
1
x
+
tan
−
1
1
x
=
π
2
Reason:
tan
−
1
x
+
cot
−
1
x
=
π
2
∀
x
∈
R
.
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Domain and Range of Basic Inverse Trigonometric Functions
Standard XII Mathematics
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