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Byju's Answer
Standard XI
Mathematics
General Solution of Trigonometric Equation
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
n
π
+
π
4
,
n
∈
Z
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B
ϕ
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C
n
π
±
π
4
,
n
∈
Z
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D
2
n
π
+
π
4
,
n
∈
Z
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Solution
The correct option is
B
ϕ
tan
3
x
−
tan
2
x
1
+
tan
3
x
tan
2
x
=
1
⇒
tan
(
3
x
−
2
x
)
=
1
⇒
tan
x
=
1
⇒
x
=
n
π
+
π
4
but for this value of
x
,
tan
2
x
is not defined
⇒
Hence, solution set
=
ϕ
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Similar questions
Q.
The set of values of
x
for which
tan
3
x
−
tan
2
x
1
+
tan
3
x
tan
2
x
=
1
, is
Q.
The solution for
x
which satisfy the equation
tan
3
x
−
tan
2
x
1
+
tan
3
x
tan
2
x
=
1
is
Q.
Solve
tan
3
x
−
tan
2
x
1
+
tan
3
x
tan
2
x
=
1
Q.
Solution of the equation
tan
3
x
−
tan
2
x
1
+
tan
3
x
⋅
tan
2
x
=
1
is given by
(
n
∈
Z
)
:
Q.
Prove that :
tan
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x
tan
x
=
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cos
2
x
+
1
2
cos
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x
−
1
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