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Byju's Answer
Standard X
Mathematics
Trigonometric Identities
If x =2, fi...
Question
If
cot
x
=
2
, find the value of
(
2
+
2
sin
x
)
(
1
−
sin
x
)
(
1
+
cos
x
)
(
2
−
2
cos
x
)
Open in App
Solution
cot
x
=
2
=
2
(
1
+
sin
x
)
(
1
−
sin
x
)
2
(
1
−
cos
x
)
(
1
+
cos
x
)
=
1
−
sin
2
x
1
−
cos
2
x
=
cos
2
x
sin
2
x
=
cot
2
x
=
(
2
)
2
=
4
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