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

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

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expand (tan(x)-1)^2

expand

(tan (x) - 1)^{2}

sec^{2} (x) - 2 tan (x)

Solution steps

(tan (x) - 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= sec^{2} (x) - 2 tan (x)

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

x^{\frac{4}{5}} (x - 4)^{2}

\frac{2 s}{( s ^{2} + 25 ) ( s - 1 )}

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

(- e^{t} sin (t) + e^{t} cos (t))^{2}

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