What is expand (1-0.8cos(x))^2 ?

The solution to expand (1-0.8cos(x))^2 is 1-1.6cos(x)+0.64cos^2(x)

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expand (1-0.8cos(x))^2

expand

(1 - 0.8 cos (x))^{2}

1 - 1.6 cos (x) + 0.64 cos^{2} (x)

Solution steps

(1 - 0.8 cos (x))^{2}

Apply Perfect Square Formula:

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

(1 - 0.8 cos (x))^{2} = 1^{2} - 2 \cdot 1 \cdot 0.8 cos (x) + (0.8 cos (x))^{2}

= 1^{2} - 2 \cdot 1 \cdot 0.8 cos (x) + (0.8 cos (x))^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot 0.8 cos (x) + (0.8 cos (x))^{2} : 1 - 1.6 cos (x) + 0.64 cos^{2} (x)

= 1 - 1.6 cos (x) + 0.64 cos^{2} (x)

[(3 + \frac{2}{x}) x^{2}]

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

\frac{s ^{3} + 4 s ^{2} + s + 5}{( s ^{2} + 1 ) ( s ^{2} + 4 s + 8 )}

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

What is expand (1-0.8cos(x))^2 ?
The solution to expand (1-0.8cos(x))^2 is 1-1.6cos(x)+0.64cos^2(x)