What is expand (1-cos(θ))^2 ?

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

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expand (1-cos(θ))^2

expand

(1 - cos (θ))^{2}

1 - 2 cos (θ) + cos^{2} (θ)

Solution steps

(1 - cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 - 2 cos (θ) + cos^{2} (θ)

tan (x) (cot (x) - csc (x))

(a + bi)^{4}

(e^{t} + e^{- t})^{2}

tan (x) (cot (x) - cos (x))

(x + 2)^{2}

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