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UPSC NDA II 2014 Mathematics Paper
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© examsnet.com
Question : 42
Total: 120
Which one of the following is one of the solutions of the equation
t
a
n
2
θ
.
t
a
n
θ
=
1
?
[NDA II 2014]
π/12
π/6
π/6
π/3
Validate
Solution:
t
a
n
2
θ
t
a
n
θ
=
1
⇒
2
t
a
n
θ
1
−
t
a
n
2
θ
t
a
n
θ
=
1
⇒
2
t
a
n
2
θ
=
1
−
t
a
n
2
θ
⇒
t
a
n
θ
=
±
1
√
3
⇒
θ
=
π
6
is one of the solutions
© examsnet.com
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