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Byju's Answer
Standard XII
Mathematics
Property 4
The value of ...
Question
The value of tan 5x tan 3x tan 2x – tan 5x + tan 3x + tan 2x is ____________.
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Solution
Consider
,
tan
5
x
tan
3
x
tan
2
x
-
tan
5
x
+
tan
3
x
+
tan
2
x
.
.
.
(
1
)
Since
5
x
=
3
x
+
2
x
i
.
e
.
tan
5
x
=
tan
3
x
+
2
x
tan
5
x
=
tan
3
x
+
tan
2
x
1
-
tan
3
x
tan
2
x
i
.
e
.
tan
5
x
1
-
tan
3
x
tan
2
x
=
tan
3
x
+
tan
2
x
i
.
e
.
tan
5
x
-
tan
5
x
tan
3
x
tan
2
x
=
tan
3
x
+
tan
2
x
i
.
e
.
tan
5
x
tan
3
x
tan
2
x
-
tan
5
x
+
tan
3
x
+
tan
2
x
=
0
Hence
value
of
tan
5
x
tan
3
x
tan
2
x
-
tan
5
x
+
tan
3
x
+
tan
2
x
is
0
.
Suggest Corrections
12
Similar questions
Q.
t
a
n
5
x
−
t
a
n
3
x
−
t
a
n
2
x
=
Q.
Let
f
(
x
)
=
tan
2
x
.
tan
3
x
.
tan
5
x
, then
f
′
(
π
)
equals
Q.
The value of
t
a
n
3
x
−
t
a
n
2
x
−
t
a
n
x
t
a
n
3
x
t
a
n
2
x
t
a
n
x
is
Q.
Assertion :
∫
tan
5
x
.
tan
3
x
.
tan
2
x
d
x
=
ln
|
sec
5
x
|
5
−
ln
|
sec
3
x
|
3
−
ln
|
sec
2
x
|
2
+
C
Reason:
tan
5
x
−
tan
3
x
−
tan
2
x
=
tan
5
x
.
tan
3
x
.
tan
2
x
Q.
Solve
tan
3
x
=
tan
5
x
.
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