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

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

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expand (csc(x)-cot(x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

(3 - i)^{4}

\frac{1}{n ( n + 1 )}

(2 + 3 w + w^{2})^{5}

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

(sin (t) + t cos (t))^{2}

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