What is ((1+cot(x))^2)/((1-cot(x))^2) ?

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

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simplify ((1+cot(x))^2)/((1-cot(x))^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

1 e^{- s t}

(3.74 \cdot 1 0^{- 10}) \cdot (1.8 \cdot 1 0^{18})

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