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Byju's Answer
Standard XII
Mathematics
Sum of n Terms
The set of va...
Question
The set of values of
x
for which
tan
3
x
−
tan
2
x
1
+
tan
3
x
tan
2
x
=
1
, is
A
ϕ
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B
π
4
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C
{
n
π
+
π
4
,
n
∈
I
}
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D
{
2
n
π
+
π
4
,
n
∈
I
}
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Solution
The correct option is
C
{
n
π
+
π
4
,
n
∈
I
}
According to given question,
t
a
n
3
x
−
t
a
n
2
x
1
+
t
a
n
3
x
t
a
n
2
x
=
1
⇒
t
a
n
(
3
x
−
2
x
)
=
1
⇒
t
a
n
x
=
1
Hence,
x
=
n
π
+
π
4
Suggest Corrections
0
Similar questions
Q.
Assertion :(A) :
t
a
n
3
x
−
t
a
n
2
x
1
+
t
a
n
3
x
t
a
n
2
x
=
1
⇒
x
=
n
π
+
π
4
,
n
∈
l
Reason: (R) :
t
a
n
x
is not defined at
x
=
n
π
+
π
2
,
n
∈
l
Q.
Assertion :
tan
3
x
−
tan
2
x
1
+
tan
2
x
tan
3
x
=
1
, then
x
=
n
π
+
π
4
,
∀
n
∈
I
Reason:
tan
x
is not defined at
x
=
n
π
+
π
2
,
n
∈
I
Q.
The set of values of
x
for which
tan
3
x
−
tan
2
x
1
+
tan
3
x
⋅
tan
2
x
=
1
is (where
n
∈
Z
)
Q.
I) The set of values of
x
for which
tan
3
x
−
tan
2
x
1
+
tan
3
x
tan
2
x
=
1
is
{
n
π
+
π
4
,
n
∈
l
}
II) The expression
(
1
+
t
a
n
x
+
tan
2
x
)
(
1
−
cot
x
+
cot
2
x
)
is positive for all defined values
of
x
III)
e
sin
x
−
e
−
s
˙
i
n
x
≠
4
for any real values of
x
.
Which of the following is correct?
Q.
Assertion :General solution of equation
tan
3
x
−
tan
2
x
1
+
tan
3
x
tan
2
x
=
1
i
s
x
=
n
π
+
π
4
Reason:
tan
x
is not defined at odd multiple of
π
2
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