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Byju's Answer
Standard XIII
Mathematics
Trigonometric Equations
The total num...
Question
The total number of solutions of tanx+cotx=2cosecx in
[
−
2
π
,
2
π
]
is equal to.
A
7
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B
6
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C
4
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D
2
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Solution
The correct option is
C
4
t
a
n
x
+
c
o
t
x
=
2
c
o
s
e
c
x
s
i
n
x
c
o
s
x
+
c
o
s
x
s
i
n
x
=
2
s
i
n
x
⇒
1
s
i
n
x
.
c
o
s
x
=
2
s
i
n
x
⇒
s
i
n
x
≠
0
⇒
c
o
s
x
=
1
2
∴
x
=
±
π
3
,
±
5
π
3
Suggest Corrections
0
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