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

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

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

simplify

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

- 2 tan (x)

Solution steps

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

Join

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

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

Simplify

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

= \frac{2 tan ( x )}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - 2 tan (x)

(5 x + 2) (2 x - 3)

1 - e^{0}

(6 - x^{2})^{2}

\frac{5 x + 25}{14} \times \frac{7 x + 7}{10 x + 50}

26 - 554

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