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EAMCET Engineering 2001 Solved Paper
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© examsnet.com
Question : 160
Total: 200
If
tan
θ
+
cot
θ
=
2
, then
s
i
n
θ
is equal to
1
√
2
1
√
3
1
2
1
Validate
Solution:
We have,
tan
θ
+
cot
θ
=
2
⇒
s
i
n
θ
cos
θ
+
cos
θ
s
i
n
θ
=
2
⇒
s
i
n
2
θ
+
cos
2
θ
s
i
n
θ
cos
θ
=
2
⇒
1
=
2
s
i
n
θ
cos
θ
⇒
s
i
n
2
θ
=
1
⇒
2
θ
=
π
2
⇒
θ
=
π
4
Thus,
s
i
n
θ
=
s
i
n
π
4
=
1
√
2
© examsnet.com
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