What is expand 1-cos(x)(1-cos(x)) ?

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

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expand 1-cos(x)(1-cos(x))

expand

1 - cos (x) (1 - cos (x))

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

Solution steps

1 - cos (x) (1 - cos (x))

Apply the distributive law:

a (b - c) = ab - a c

- cos (x) (1 - cos (x)) = - cos (x) \cdot 1 - (- cos (x)) cos (x)

= 1 - cos (x) \cdot 1 - (- cos (x)) cos (x)

Simplify

- cos (x) \cdot 1 - (- cos (x)) cos (x) : - cos (x) + cos^{2} (x)

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

\frac{1}{2}

\frac{5 ( 651 10 - 64 1054 )}{248}

- \frac{v ( e ^{- k t} - 1 )}{k}

- e^{x} (\frac{x e ^{- 3 x}}{3} + \frac{e ^{- 3 x}}{9})

(2 x - x)^{2}

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