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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (\frac{9 a ^{16}}{b ^{2}})

lo g_{10} (\frac{x}{1})

ln^{2} (2 x)

\frac{1}{5} - 5 ln (\frac{1}{5})

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