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

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

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

expand

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

2 tan (x)

Solution steps

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

Distribute parentheses

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

Simplify

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

= 2 tan (x)

\frac{7}{( 6 + x ) ^{3}}

\frac{( \frac{9}{10} x + \frac{2}{5} ) 9}{10} + \frac{2}{5}

\frac{14}{( 2 x - 5 ) ^{2}}

(1 + cos (x)) \cdot 2

2 π - \frac{π}{2} (- \frac{1}{2} ln (7) + 3)

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