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

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

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

simplify

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

sin (x) tan (x)

Solution steps

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

Express with sin, cos

= \frac{1 - cos ^{2} ( x )}{cos ( x )}

Rewrite using trig identities

= sin (x) tan (x)

9 + (- 4)

\frac{a - 2 b}{15 a} + \frac{b - a}{20 b}

\frac{e ^{x} + e ^{- x}}{e ^{x} - e ^{- x}}

\frac{125}{6}

3^{x} + 3^{x}