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

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

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expand (sec(x)-1)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(x + 2 i)^{2}

\frac{1}{x ^{3}} (\frac{1}{3 x ^{2}} - \frac{x}{2})^{9}

cos (θ) (csc (θ) - sec (θ))

\frac{180 ( n - 2 )}{n}

(y^{2} - 3 y - x) d x + (2 y - 3) d y

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