What is expand (sin(x))/((1+cos(x))^2) ?

The solution to expand (sin(x))/((1+cos(x))^2) is (sin(x))/(1+2cos(x)+cos^2(x))

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expand (sin(x))/((1+cos(x))^2)

expand

\frac{sin ( x )}{( 1 + cos ( x ) ) ^{2}}

\frac{sin ( x )}{1 + 2 cos ( x ) + cos ^{2} ( x )}

Solution steps

\frac{sin ( x )}{( 1 + cos ( x ) ) ^{2}}

(1 + cos (x))^{2} = 1 + 2 cos (x) + cos^{2} (x)

= \frac{sin ( x )}{1 + 2 cos ( x ) + cos ^{2} ( x )}

x y^{''} (x) + y^{'} (x) + x (1 - (\frac{1}{4 x ^{2}}) y = 0)

(a + b)^{2}

(x - \frac{1}{3}) (x - \frac{1}{4})

(x - 1) y^{''} (x) - (x + 1) y^{'} (x) + 2 y

(u - 1)^{2}

What is expand (sin(x))/((1+cos(x))^2) ?
The solution to expand (sin(x))/((1+cos(x))^2) is (sin(x))/(1+2cos(x)+cos^2(x))