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Byju's Answer
Standard XII
Mathematics
Domain and Range of Trigonometric Ratios
The numbers o...
Question
The numbers of solutions of the equation
|
cot
x
|
=
cot
x
+
1
sin
x
in the interval
[
0
,
2
π
]
is
Open in App
Solution
Case
1
:
x
∈
[
0
,
π
2
]
∪
[
0
,
3
π
2
]
cot
x
=
cot
x
+
1
sin
x
⇒
not possible
Case
2
:
x
∈
[
π
2
,
π
]
∪
[
3
π
2
,
2
π
]
−
cot
x
=
cot
x
+
1
sin
x
⇒
−
2
cos
x
sin
x
=
1
sin
x
⇒
cos
x
=
−
1
2
⇒
x
=
2
π
3
,
4
π
3
=
1
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0
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Q.
Number of solutions of the equation
|
cot
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|
=
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+
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]
is
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The number of solutions of the equation|cot x| = cot x +
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Number of solutions of the equation
|
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∈
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,
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]
is
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Domain and Range of Trigonometric Ratios
Standard XII Mathematics
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