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Byju's Answer
Standard XII
Mathematics
Basic Trigonometric Identities
Prove that ...
Question
Prove that
√
1
+
s
i
n
A
1
−
s
i
n
A
=
s
e
c
A
+
t
a
n
A
Open in App
Solution
LHS
=
√
1
+
s
i
n
A
1
−
s
i
n
A
Multiply and divide LHS by
√
1
+
sin
A
=
√
1
+
sin
A
1
−
sin
A
×
1
+
sin
A
1
+
sin
A
=
1
+
sin
A
cos
A
=
sec
A
+
tan
A
=
R
H
S
Hence proved
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