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

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

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expand (cot(x)-1)^2

expand

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

csc^{2} (x) - 2 cot (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= csc^{2} (x) - 2 cot (x)

\frac{x ( x - 5 )}{x - 2}

\frac{5 s}{( s - 2 ) ^{2}}

x (x^{3} e^{3 x} + 4)

\frac{2 s + 3}{( s + 1 ) ( s - 1 ) ( 2 s + 1 ) ( s + 2 )}

(x + \frac{2}{5}) (x - \frac{1}{5})

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