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NDA Math Inverse Circular Functions
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© examsnet.com
Question : 18
Total: 25
The equation
t
a
n
−
1
(
1
+
x
)
+
t
a
n
−
1
(
1
−
x
)
=
π
2
is satisfied by
[NDA I 2015]
x
=
1
x
=
−
1
x
=
0
x
=
1
2
Validate
Solution:
Applying the properties of inverse trigonometric functions, the above equation simplifies to
t
a
n
−
1
(
1
+
x
)
+
t
a
n
−
1
(
1
−
x
)
=
π
2
t
a
n
−
1
(
1
+
x
)
=
π
2
−
t
a
n
−
1
(
1
−
x
)
t
a
n
−
1
(
1
+
x
)
=
c
o
t
−
1
(
1
−
x
)
t
a
n
−
1
(
1
+
x
)
=
t
a
n
−
1
(
1
1
−
x
)
1
+
x
=
1
1
−
x
1
−
x
2
=
1
x
=
0
Hence the required answer is 0.
© examsnet.com
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