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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (x) - 8 [ln (x - 2) + ln (x + 2)]

\frac{1}{34} ln (\frac{11}{16})

\frac{1}{3} ln (x) + 4 ln (2)

lo g_{10} (25 x) 3.3

ln (a) - 4 ln (b) + 3 ln (c)

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