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Byju's Answer
Standard XII
Mathematics
Integration of Trigonometric Functions
If θ is an ...
Question
If
θ
is an acute angle and
tan
θ
+
cot
θ
=
2
, find the value of
tan
2
θ
+
cot
2
θ
.
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Solution
tan
θ
+
cot
θ
=
2
tan
θ
+
1
tan
θ
=
2
tan
2
θ
+
1
tan
θ
=
2
tan
2
θ
−
2
tan
θ
+
1
=
0
(
tan
θ
−
1
)
2
=
0
tan
θ
=
1
θ
=
45
o
Therefore,
tan
2
θ
+
cot
2
θ
=
1
+
1
=
2
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