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

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

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

simplify

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

2 sec (x) tan (x)

Solution steps

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

Join

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

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

Simplify

(- sin (x) + 1) (sin (x) + 1) : cos^{2} (x)

= \frac{2 sin ( x )}{cos ^{2} ( x )}

Rewrite using trig identities

= 2 sec (x) tan (x)

(\frac{4}{9})^{8}

- 1 0^{3}

\frac{d}{d}

(x + 1) (3 x + 2)

(n p - 1)^{4}

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