What is expand (1+cot(x))^2 ?

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

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expand (1+cot(x))^2

expand

(1 + cot (x))^{2}

1 + 2 cot (x) + cot^{2} (x)

Solution steps

(1 + cot (x))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 + 2 cot (x) + cot^{2} (x)

(csc (x) - cot (x)) (1 + cos (x))

\frac{( k + 1 ) ( k + 2 ) ( 2 k + 3 )}{6}

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

(3 - 2 k)^{2}

\frac{\partial}{\partial x} ((z) (x^{2} + y^{2} + z^{2}))

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