What is expand (cos(x)-1)^2 ?

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

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expand (cos(x)-1)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

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

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

(x - y) (x + y)

(9 + 2 x sin (y)) d x - x^{2} cos (y) d y

\frac{4 x ^{3} - x ^{2} - 3 x - 2}{x ^{2} ( x + 1 ) ^{2}}

(sec (a) + tan (a)) (1 - sin (a))

\frac{( p - q ) ^{3}}{p + q}

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