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

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

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

expand

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

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

Solution steps

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

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

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

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

\frac{( x + 2 ) ( x ^{2} + 4 )}{x + 5}

\frac{2}{3} (- 1 + Δ x)

(\frac{2}{x ^{2}} - 3 x)^{5}

(csc (A) + cot (A)) (csc (A) - cot (A))

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