What is expand (csc(3x)-cot(3x))^2 ?

The solution to expand (csc(3x)-cot(3x))^2 is csc^2(3x)-2cot(3x)csc(3x)+cot^2(3x)

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expand (csc(3x)-cot(3x))^2

expand

(csc (3 x) - cot (3 x))^{2}

csc^{2} (3 x) - 2 cot (3 x) csc (3 x) + cot^{2} (3 x)

Solution steps

(csc (3 x) - cot (3 x))^{2}

Apply Perfect Square Formula:

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

(csc (3 x) - cot (3 x))^{2} = csc^{2} (3 x) - 2 csc (3 x) cot (3 x) + cot^{2} (3 x)

= csc^{2} (3 x) - 2 csc (3 x) cot (3 x) + cot^{2} (3 x)

= csc^{2} (3 x) - 2 cot (3 x) csc (3 x) + cot^{2} (3 x)

\frac{d}{d v} ((p) (p + \frac{3.7}{v ^{2}}) (v - 2.1))

x e^{x^{2}} (x^{2} + 1)^{10}

\frac{1}{4} (2 x - 7) (2 x - 1)

- 4 cos^{2} (t) - 2 sin (t) (2 sin (t) + 16)

\frac{( 7 x + 3 m ) ^{2}}{36}

What is expand (csc(3x)-cot(3x))^2 ?
The solution to expand (csc(3x)-cot(3x))^2 is csc^2(3x)-2cot(3x)csc(3x)+cot^2(3x)