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Byju's Answer
Standard XII
Mathematics
Evaluation of a Determinant
Cot^-1[√1-sin...
Question
Cot^-1[√1-sinx+√1+sinx/√1-sinx -√1+sinx] is equal to (where x belongs to (0 to 90))
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Similar questions
Q.
If
y
=
cot
−
1
[
√
1
+
sin
x
+
√
1
−
sin
x
√
1
+
sin
x
−
√
1
−
sin
x
]
, where
0
<
x
<
π
2
, then
d
y
d
x
is equal to
Q.
If
sin
x
1
+
sec
x
+
sin
x
sec
x
−
1
=
2
where
0
∘
<
x
<
90
∘
then cosec x has the value equal to
Q.
S
h
o
w
t
h
a
t
c
o
t
−
1
(
√
1
+
s
i
n
x
+
√
1
−
s
i
n
x
√
1
+
s
i
n
x
−
√
1
−
s
i
n
x
)
=
x
2
f
o
r
x
∈
(
0
,
π
2
)
Q.
If
x
lies in
I
I
n
d
quadrant, then
√
1
+
sin
x
+
√
1
−
sin
x
√
1
+
sin
x
−
√
1
−
sin
x
is equal to
Q.
The value of
cot
−
1
{
√
1
−
sin
x
+
√
1
+
sin
x
√
1
−
sin
x
−
√
1
+
sin
x
}
, where
(
0
<
x
<
π
2
)
is
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