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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

(1 + 3)^{5}

(- 3 + 3 i)^{5}

(x^{2} - 1) e^{x}

(1 + 3)^{6}

δ (x - \frac{π}{3}) tan (x)

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