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Byju's Answer
Standard XII
Mathematics
Range of Trigonometric Expressions
Number of val...
Question
Number of values of
θ
ϵ
[
0
,
2
π
]
satisfying the equation
cot
x
−
cos
x
=
1
−
cot
x
.
cos
x
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is
C
3
c
o
s
x
s
i
n
x
−
c
o
s
x
=
1
−
c
o
s
2
x
s
i
n
x
⇒
c
o
s
x
−
c
o
s
x
∗
s
i
n
x
=
s
i
n
x
−
c
o
s
2
x
⇒
c
o
s
2
x
+
c
o
s
x
−
c
o
s
x
s
i
n
x
−
s
i
n
x
=
0
⇒
c
o
s
x
(
1
+
c
o
s
x
)
−
s
i
n
x
(
1
+
c
o
s
x
)
=
0
⇒
(
c
o
s
x
−
s
i
n
x
)
(
1
+
c
o
s
x
)
=
0
⇒
x
=
π
4
,
5
π
4
,
π
Hence, 3 solutions exist.
Suggest Corrections
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