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

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

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expand (-cos(a)(1-cos(a))+sin^2(a))/(1-cos(a))

expand

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

1

Solution steps

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

Expand

- cos (a) (1 - cos (a)) + sin^{2} (a) : - cos (a) + cos^{2} (a) + sin^{2} (a)

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

Use the Pythagorean identity:

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

= \frac{- cos ( a ) + 1}{1 - cos ( a )}

Apply rule

\frac{a}{a} = 1

= 1

3 x y^{''} (x) + 2 (1 - x) y^{'} (x) - 4 y

2 ((0, 4, 3, 4, 4) + 3 (6, 8, - 3, 3, - 5))

6 e^{2 t} \cdot (12 e^{2 t} + 12 t e^{2 t})

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

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

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