What is expand (tan^2(x))/((sec(x)-1)^2) ?

The solution to expand (tan^2(x))/((sec(x)-1)^2) is (tan^2(x))/(sec^2(x)-2sec(x)+1)

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expand (tan^2(x))/((sec(x)-1)^2)

expand

\frac{tan ^{2} ( x )}{( sec ( x ) - 1 ) ^{2}}

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

Solution steps

\frac{tan ^{2} ( x )}{( sec ( x ) - 1 ) ^{2}}

(sec (x) - 1)^{2} = sec^{2} (x) - 2 sec (x) + 1

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

(x - 23)^{2}

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

(2 x^{3} - \frac{1}{x})^{12}

(t cos (t)) (cos (t) - t sin (t))

(3 z + 5 i)^{2}

What is expand (tan^2(x))/((sec(x)-1)^2) ?
The solution to expand (tan^2(x))/((sec(x)-1)^2) is (tan^2(x))/(sec^2(x)-2sec(x)+1)