What is 1/(sec(x)+1)-1/(sec(x)-1) ?

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

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simplify 1/(sec(x)+1)-1/(sec(x)-1)

simplify

\frac{1}{sec ( x ) + 1} - \frac{1}{sec ( x ) - 1}

- 2 cot^{2} (x)

Solution steps

\frac{1}{sec ( x ) + 1} - \frac{1}{sec ( x ) - 1}

Join

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

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

Simplify

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

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

Simplify

\frac{2}{tan ^{2} ( x )} : 2 cot^{2} (x)

= - 2 cot^{2} (x)

2 (x - 2)

b^{4}

\frac{1}{2} \times 6

4 x^{2} - 36 y^{2}

- 5 - 10 (2 + 4 x)

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