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Byju's Answer
Standard XII
Mathematics
Differentiation Using Substitution
The value of ...
Question
The value of
cot
π
4
+
x
cot
π
4
-
x
is ___________.
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Solution
cot
π
4
+
x
cot
π
4
-
x
1
tan
(
π
/
4
+
x
)
×
1
tan
π
/
4
-
x
using
identities
:
tan
a
+
b
=
tan
a
+
tan
b
1
-
tan
a
tan
b
and
tan
a
-
b
=
tan
a
-
tan
b
1
+
tan
a
tan
b
=
1
tanπ
/
4
+
tan
x
1
-
tanπ
/
4
tan
x
×
1
tanπ
/
4
-
tan
x
1
+
tan
π
4
tan
x
=
1
-
tan
x
1
+
tan
x
×
1
+
tan
x
1
-
tan
x
=
1
Hence
,
value
of
cot
π
4
+
x
cot
π
4
-
x
is
1
.
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0
Similar questions
Q.
Write the range of the function f(x) = sin [x], where
-
π
4
≤
x
≤
π
4
.
Q.
f
(
x
)
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⎧
⎪ ⎪
⎨
⎪ ⎪
⎩
tan
x
x
≠
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1
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discuss continuity at
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Q.
Find the derivative of
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)
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.
Q.
Assertion :Statement 1: The value of
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for which
(
sin
x
+
cos
x
)
1
+
sin
2
x
=
2
when
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≤
x
≤
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is
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only Reason: Statement 2: The maximum value of
sin
x
+
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occurs when
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=
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4
Q.
The value of the limit
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