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Byju's Answer
Standard XII
Mathematics
Local Maxima
If √1+sin A...
Question
If
√
1
+
sin
A
1
−
sin
A
=
sec
A
+
tan
A
then
A
lies in which of the following quadrants?
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Solution
The term on the RHS is defined only for
1
−
sin
A
≠
0
⇒
A
≠
(
4
n
+
1
)
π
2
, for
n
being and integer.
Also, the domain of
tan
A
is
−
π
2
<
A
<
π
2
and that of
sec
A
is
0
≤
A
≤
π
,
A
≠
π
2
.
Now, for the given question, option (B) is going to be correct.
As the quadrant of the ramaining options contains
π
2
.
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