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Byju's Answer
Standard XII
Mathematics
Basic Trigonometric Identities
If θ =x+1/4...
Question
If
sec
θ
=
x
+
1
4
x
, then the value of
sec
θ
+
tan
θ
is equal to
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Solution
tan
2
θ
=
sec
2
θ
−
1
=
(
x
+
1
4
x
)
2
−
1
=
(
x
+
1
4
x
)
2
∴
tan
θ
=
±
(
x
−
1
4
x
)
=
(
x
−
1
4
x
)
o
r
(
1
4
x
−
x
)
∴
sec
θ
+
tan
θ
is either 2x or
1
2
x
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