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

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

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

expand

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

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

Solution steps

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

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

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

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

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

(9 x + 2) e^{4 x}

\frac{t ( - 27 t e ^{- t} - 11 t - 8 )}{3}

2 (16 + \frac{1}{5} x)^{2} - (20 + \frac{1}{4} x)^{2}

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