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Byju's Answer
Standard XII
Mathematics
Functions
Calculate ar...
Question
Calculate
a
r
c
tan
√
2
+
a
r
c
tan
1
√
2
Open in App
Solution
a
r
c
t
a
n
√
2
+
a
r
c
t
a
n
1
√
2
=
t
a
n
−
1
√
2
+
t
a
n
−
1
1
√
2
=
t
a
n
−
1
√
2
+
c
o
t
1
√
2
(
a
s
t
a
n
−
1
1
x
=
c
o
t
−
1
x
)
=
π
/
2
(
a
s
t
a
n
−
1
x
+
c
o
t
−
1
x
=
π
/
2
)
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0
Similar questions
Q.
Calculate.
a
r
c
tan
1
+
a
r
c
cos
(
−
1
2
)
+
a
r
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−
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=
?
Q.
Calculate
a
r
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(
−
√
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Q.
l
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arctan
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+
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+
2
−
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is equal to
Q.
Prove that arctan(x) + arctan(y) = n + arctan
(
x
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1
−
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y
)
if x > 0, y > 0 and xy > 1. And arctan(x) + arctan(y) = arctan
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+
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1
−
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y
)
−
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,
if x < 0, y < 0 and xy > 1.
Q.
Show that the solution of
(
1
+
y
2
)
d
x
=
{
t
a
n
−
1
y
−
x
)
d
y
is
x
=
c
e
−
arctan
y
+
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y
−
1
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