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Mathematics
Mathematics
Problem
9. If
x
=
a
sin
−
1
t
,
y
=
a
cos
−
1
t
x=\sqrt{a^{\sin ^{-1} t}}, y=\sqrt{a^{\cos ^{-1} t}}
x
=
a
s
i
n
−
1
t
,
y
=
a
c
o
s
−
1
t
, show that
d
y
d
x
=
−
y
x
\frac{d y}{d x}=-\frac{y}{x}
d
x
d
y
=
−
x
y
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