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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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

sec (θ) (sec (θ) + 6)

(- 1, - 6) y (2, - 4)

\frac{( s + 0.28 ) ( s + 0.5 )}{( s + 0.0201 ) ( s + 5 )}

(4 x y + 3 y^{2} x) d x + x (x + 2 y) d y

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