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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

x (4 x (x^{2} + 1))

520747 \cdot 9.94 \cdot 1 0^{- 6}

- e^{- x} \cdot (- 4) e^{- x}

1.1364 \cdot 1 0^{- 3} \cdot 0.15

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