What is expand (csc(θ)-cot(θ))^2 ?

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

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expand (csc(θ)-cot(θ))^2

expand

(csc (θ) - cot (θ))^{2}

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

Solution steps

(csc (θ) - cot (θ))^{2}

Apply Perfect Square Formula:

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

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

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

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

x^{\frac{3}{5}} (4 - x)

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

lo g_{10} (x^{5} y z^{3})

(1 + sin (a)) (1 - sin (a))

(a x + b y) (c x + d y)

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