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Byju's Answer
Standard XII
Mathematics
Properties of Conjugate of a Complex Number
Prove that ...
Question
Prove that
(
cot
θ
2
−
tan
θ
2
)
2
(
1
−
2
tan
θ
cot
2
θ
)
=
Open in App
Solution
(
cot
θ
2
−
tan
θ
2
)
2
[
1
−
2
tan
θ
1
tan
2
θ
]
=
(
cot
θ
2
−
tan
θ
2
)
2
[
1
−
2
tan
θ
2
tan
θ
×
(
1
−
tan
2
θ
)
]
=
(
cot
2
θ
2
+
tan
2
θ
2
−
2
)
(
tan
2
θ
)
=
(
cot
2
θ
2
+
tan
2
θ
2
−
2
)
(
2
tan
θ
/
2
1
−
sin
2
θ
/
2
)
2
=
(
4
+
4
tan
4
θ
2
−
8
tan
2
θ
2
)
(
1
−
tan
2
θ
2
)
2
=
4
(
1
+
tan
4
θ
2
−
2
tan
2
θ
2
)
(
1
−
tan
2
θ
2
)
2
=
4
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Standard XII Mathematics
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