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Byju's Answer
Standard X
Mathematics
Trigonometric Ratios
If sec θ= a +...
Question
If
sec
θ
=
a
+
1
4
a
t
h
e
n
sec
θ
+
tan
θ
=
A
a
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B
2a
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C
3a
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D
4a
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Solution
The correct option is
B
2a
sec
θ
+
tan
θ
=
sec
θ
+
√
sec
2
θ
−
1
=
a
+
1
4
a
+
√
(
a
+
1
4
a
)
2
−
1
=
a
+
1
4
a
+
a
−
1
4
a
+
a
−
1
4
a
=
2
a
Suggest Corrections
10
Similar questions
Q.
If tan θ =
3
, then sec θ = ?
(a)
2
3
(b)
3
2
(c)
1
2
(d) 2