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Byju's Answer
Standard XII
Mathematics
Parametric Differentiation
Find dydx a...
Question
Find
d
y
d
x
at
t
=
π
4
If
x
=
c
o
s
t
and
y
=
s
i
n
t
Open in App
Solution
x
=
cos
t
⇒
d
x
d
t
=
−
sin
t
y
=
sin
t
⇒
d
y
d
t
=
cos
t
d
y
d
x
=
d
y
d
t
d
x
d
t
=
cos
t
−
sin
t
=
−
cot
t
d
y
d
x
at
t
=
π
4
is
=
−
cot
(
π
4
)
=
−
1
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0
Similar questions
Q.
Find
d
y
d
x
, if
y
=
12
(
1
−
cos
t
)
,
x
=
10
(
t
−
sin
t
)
,
−
π
2
<
t
<
π
2
Q.
If
x
=
a
(
t
−
sin
t
)
,
y
=
a
(
1
−
cos
t
)
,
find
d
y
/
d
x
. at
t
=
π
Q.
If
x
=
10
(
t
−
sin
t
)
,
y
=
12
(
1
−
cos
t
)
,
find
d
y
d
x
.
Q.
If
x
=
a
(
t
+
sin
t
)
,
y
=
a
(
1
−
cos
t
)
if
d
x
d
y
=
cot
p
then
p
=
Q.
If a curve is represented parametrically by the equations.
x
=
sin
(
t
+
7
π
12
)
+
sin
(
t
−
π
12
)
+
sin
(
t
+
3
π
12
)
,
y
=
cos
(
t
+
7
π
12
)
+
cos
(
t
−
π
12
)
+
cos
(
t
+
3
π
12
)
then find the value of
d
d
t
(
x
y
−
y
x
)
at
t
=
π
8
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