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

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

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

expand

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

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

Solution steps

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

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

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

- \frac{1}{2} x^{2} + 2 x - \frac{3}{2} + \frac{1}{3} (x - 1)^{3}

3 e^{3 x} x^{3} ln (x + 1) (x + 1)

- 3 (x - 1 = - 4) x + 20

(- 1 - 37)^{3}

(x - 1) \cdot x^{\frac{x}{2}}

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