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Byju's Answer
Number of val...
Question
Number of values of
x
(
x
∈
[
0
,
π
]
)
for which the equation
2
sin
x
−
2
cos
x
+
cot
x
=
1
holds good
A
3.0
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B
3
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C
3.00
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
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Solution
2
sin
x
−
2
cos
x
+
cot
x
=
1
⇒
2
sin
x
−
2
cos
x
+
1
tan
x
=
1
⇒
2
sin
x
tan
x
−
2
sin
x
−
tan
x
+
1
=
0
⇒
(
2
sin
x
−
1
)
(
tan
x
−
1
)
=
0
sin
x
=
1
2
or
tan
x
=
1
x
=
π
6
,
5
π
6
or
π
4
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