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SSC CGL Tier-1 20-Aug-2021 Shift 2 Solved Paper
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© examsnet.com
Question : 59
Total: 100
If
2
cos
2
θ
−
5
cos
θ
+
2
=
0
,
0
∘
<
θ
<
90
∘
, then the value of
(
sec
θ
+
tan
θ
)
is
2
+
√
3
1
−
√
3
1
+
√
3
2
−
√
3
Validate
Solution:
Given,
2
cos
2
θ
−
5
cos
θ
+
2
=
0
⇒
2
cos
2
θ
−
4
cos
θ
−
cos
θ
+
2
=
0
⇒
2
cos
θ
(
cos
θ
−
2
)
−
1
(
cos
θ
−
2
)
=
0
⇒
(
2
cos
θ
−
1
)
(
cos
θ
−
2
)
=
0
⇒
cos
θ
=
1
2
,
cos
θ
=
2
(Not taken)
⇒
cos
θ
=
cos
60
∘
⇒
θ
=
60
∘
[
∵
0
<
θ
<
90
∘
]
∴
sec
θ
+
tan
θ
=
sec
60
∘
+
tan
60
∘
=
2
+
√
3
[
∵
sec
60
∘
=
2
and
tan
60
∘
=
√
3
]
© examsnet.com
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