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Mathematics
Mathematics
Problem
Which of the following implicit relations between
x
x
x
and
y
y
y
guarantees that any correctly computed
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
will include a factor of
csc
2
y
\csc^{2} y
csc
2
y
for all points where
sin
y
≠
0
\sin y \neq 0
sin
y
=
0
? a)
x
+
csc
y
=
0
x+\csc y=0
x
+
csc
y
=
0
b)
x
tan
y
+
y
=
0
x\tan y+y=0
x
tan
y
+
y
=
0
c)
x
+
cot
y
=
0
x+\cot y=0
x
+
cot
y
=
0
d)
x
csc
y
+
y
=
0
x\csc y+y=0
x
csc
y
+
y
=
0
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