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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (x^{7} y)

2 ln (5) + 4 ln (3)

lo g_{8} (x y)

ln (4 x) - 3

ln (4 e^{2 b})

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