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

The solution to 1/(1-cos(x))-1/(1+cos(x)) is 2cot(x)csc(x)

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

simplify

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

2 cot (x) csc (x)

Solution steps

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

Join

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

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

Simplify

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

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

Rewrite using trig identities

= 2 cot (x) csc (x)

5 - (- 6)

(m + 2)^{2}

e^{0.03}

8 + (- 8)

ln (\frac{1}{e ^{7}})

What is 1/(1-cos(x))-1/(1+cos(x)) ?
The solution to 1/(1-cos(x))-1/(1+cos(x)) is 2cot(x)csc(x)