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Problems
If
y
=
sin
x
1
+
cos
x
1
+
sin
x
1
+
cos
x
,
prove that
\text{If } y = \frac{\sin x}{1 + \frac{\cos x}{1 + \frac{\sin x}{1 + \cos x}}}, \text{ prove that}
If
y
=
1
+
1
+
1
+
c
o
s
x
s
i
n
x
c
o
s
x
sin
x
,
prove that
…
Mathematics
Problem
If
y
=
sin
x
1
+
cos
x
1
+
sin
x
1
+
cos
x
,
prove that
\text{If } y = \frac{\sin x}{1 + \frac{\cos x}{1 + \frac{\sin x}{1 + \cos x}}}, \text{ prove that}
If
y
=
1
+
1
+
1
+
c
o
s
x
s
i
n
x
c
o
s
x
sin
x
,
prove that
d
y
d
x
=
(
1
+
y
)
cos
x
+
y
sin
x
1
+
2
y
+
cos
x
−
sin
x
.
\frac{dy}{dx} = \frac{(1+y)\cos x + y \sin x}{1 + 2y + \cos x - \sin x}.
d
x
d
y
=
1
+
2
y
+
cos
x
−
sin
x
(
1
+
y
)
cos
x
+
y
sin
x
.
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