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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Allied Angles
If 3tan -1 ...
Question
If
3
tan
−
1
x
+
cot
−
1
x
=
π
, then
x
is equal to
A
0
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B
1
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C
−
1
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D
1
/
2
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Solution
The correct option is
B
1
We have,
3
tan
−
1
x
+
cot
−
1
x
=
π
⇒
2
tan
−
1
x
+
(
tan
−
1
x
+
cot
−
1
x
)
=
π
⇒
2
tan
−
1
x
+
π
2
=
π
,
[
∵
tan
−
1
x
+
cot
−
1
x
=
π
2
]
is an identity
⇒
2
tan
−
1
x
=
π
−
π
2
=
π
2
⇒
tan
−
1
x
=
π
4
∴
x
=
tan
π
4
=
1
Suggest Corrections
0
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