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Mathematics
Mathematics
Problem
16. If
cos
y
=
x
cos
(
a
+
y
)
\cos y=x \cos (a+y)
cos
y
=
x
cos
(
a
+
y
)
, with
cos
a
≠
±
1
\cos a \neq \pm 1
cos
a
=
±
1
, prove that
d
y
d
x
=
cos
2
(
a
+
y
)
sin
a
\frac{d y}{d x}=\frac{\cos ^{2}(a+y)}{\sin a}
d
x
d
y
=
s
i
n
a
c
o
s
2
(
a
+
y
)
.
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