What is expand (1-tan(θ))^2 ?

The solution to expand (1-tan(θ))^2 is sec^2(θ)-2tan(θ)

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expand (1-tan(θ))^2

expand

(1 - tan (θ))^{2}

sec^{2} (θ) - 2 tan (θ)

Solution steps

(1 - tan (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= sec^{2} (θ) - 2 tan (θ)

(e^{i θ} - 1) (e^{- i θ} - 1)

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

lo g_{10} (x^{3} y^{- 12})

(x - 1) (x + \frac{1}{2})

e^{t} (3 cos (5 t) - 2 sin (5 s))

What is expand (1-tan(θ))^2 ?
The solution to expand (1-tan(θ))^2 is sec^2(θ)-2tan(θ)