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Mathematics
Mathematics
Problem
If
sin
y
=
x
sin
(
a
+
y
)
\sin y = x \sin(a + y)
sin
y
=
x
sin
(
a
+
y
)
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
sin
2
(
a
+
y
)
sin
(
a
+
2
y
)
\frac{\sin^2(a + y)}{\sin(a + 2y)}
s
i
n
(
a
+
2
y
)
s
i
n
2
(
a
+
y
)
(b)
sin
2
(
a
+
y
)
cos
(
a
+
2
y
)
\frac{\sin^2(a + y)}{\cos(a + 2y)}
c
o
s
(
a
+
2
y
)
s
i
n
2
(
a
+
y
)
(c)
sin
2
(
a
+
y
)
sin
a
\frac{\sin^2(a + y)}{\sin a}
s
i
n
a
s
i
n
2
(
a
+
y
)
(d)
sin
2
(
a
+
y
)
cos
a
\frac{\sin^2(a + y)}{\cos a}
c
o
s
a
s
i
n
2
(
a
+
y
)
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