What is expand (1-2cos(θ))^2 ?

The solution to expand (1-2cos(θ))^2 is 1-4cos(θ)+4cos^2(θ)

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expand (1-2cos(θ))^2

expand

(1 - 2 cos (θ))^{2}

1 - 4 cos (θ) + 4 cos^{2} (θ)

Solution steps

(1 - 2 cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

1^{2} - 2 \cdot 1 \cdot 2 cos (θ) + (2 cos (θ))^{2} : 1 - 4 cos (θ) + 4 cos^{2} (θ)

= 1 - 4 cos (θ) + 4 cos^{2} (θ)

(\frac{1}{x} - \frac{4}{x ^{3}}) (3 x^{2} - 5)

(1 + \frac{2}{n} i)^{2}

\frac{10}{s ( s + 1 )}

(x - 10)^{2}

(2 x y - tan (y)) d x

What is expand (1-2cos(θ))^2 ?
The solution to expand (1-2cos(θ))^2 is 1-4cos(θ)+4cos^2(θ)