What is expand (1+cot(θ))^2 ?

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

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expand (1+cot(θ))^2

expand

(1 + cot (θ))^{2}

1 + 2 cot (θ) + cot^{2} (θ)

Solution steps

(1 + cot (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 + 2 cot (θ) + cot^{2} (θ)

(1 - 3 sin (x))^{2}

(a + b t) e^{3 t} - \frac{2}{5} e^{- 2 t}

\frac{8 ( 2 3 - 3 )}{3}

\frac{1}{3} (12 - 9 y)

\frac{1}{2 - 3} x \frac{1}{2 + 3}

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