What is expand (sec(x)+tan(x)-1)(1+sec(x)-tan(x)) ?

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

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expand (sec(x)+tan(x)-1)(1+sec(x)-tan(x))

expand

(sec (x) + tan (x) - 1) (1 + sec (x) - tan (x))

2 tan (x)

Solution steps

(sec (x) + tan (x) - 1) (1 + sec (x) - tan (x))

Distribute parentheses

= sec (x) \cdot 1 + sec (x) sec (x) + sec (x) (- tan (x)) + tan (x) \cdot 1 + tan (x) sec (x) + tan (x) (- tan (x)) - 1 \cdot 1 - 1 \cdot sec (x) - 1 \cdot (- tan (x))

Simplify

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

= 2 tan (x)

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

\frac{6 x}{( x ^{2} + 3 ) ^{2}}

(\frac{n ( n + 1 )}{2})^{2}

(- 1 - i)^{5}

(1 + i)^{25}

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