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Byju's Answer
Standard XII
Mathematics
Properties Derived from Trigonometric Identities
Find the valu...
Question
Find the value of x, if
5
tan
−
1
x
+
2
c
o
t
−
1
x
=
2
π
.
A
1
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B
√
3
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C
1
√
3
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D
0
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Solution
The correct option is
B
√
3
5
tan
−
1
x
+
2
c
o
t
−
1
x
=
2
π
⇒
3
tan
−
1
x
+
2
(
tan
−
1
x
+
c
o
t
−
1
x
)
=
2
π
We
know
that
tan
−
1
x
+
c
o
t
−
1
x
=
π
2
⇒
3
tan
−
1
x
+
2
×
π
2
=
2
π
⇒
3
tan
−
1
x
=
π
⇒
tan
−
1
x
=
π
3
⇒
x
=
tan
π
3
⇒
x
=
√
3
.
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Similar questions
Q.
Find the value of x, if
5
tan
−
1
x
+
2
c
o
t
−
1
x
=
2
π
.