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

The solution to ln((1+sin(x))/(1-sin(x))) is ln(1+sin(x))-ln(1-sin(x))

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

simplify

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

ln (1 + sin (x)) - ln (1 - sin (x))

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

= ln (sin (x) + 1) - ln (- sin (x) + 1)

ln (\frac{1}{cos ( x )})

lo g_{10} (z x^{5})

lo g_{10} (\frac{y ^{5}}{z})

lo g_{2} ((5 x^{3} - 2) (x^{2} - 1)^{3})

What is ln((1+sin(x))/(1-sin(x))) ?
The solution to ln((1+sin(x))/(1-sin(x))) is ln(1+sin(x))-ln(1-sin(x))