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

The solution to ln(1+sqrt(sin(x)))-ln(1-sqrt(sin(x))) is ln(((1+sqrt(sin(x)))^2)/(1-sin(x)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

ln \frac{( 1 + sin ( x ) ) ^{2}}{1 - sin ( x )}

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

= ln \frac{( 1 + sin ( x ) ) ^{2}}{1 - sin ( x )}

- lo g_{10} (5.6 \cdot 1 0^{- 4})

lo g_{4} ((12 \cdot 7^{2})^{4})

lo g_{2} (\frac{4}{x + 7})

ln (in f ini t o)

lo g_{b} (7) + lo g_{b} (3)

What is ln(1+sqrt(sin(x)))-ln(1-sqrt(sin(x))) ?
The solution to ln(1+sqrt(sin(x)))-ln(1-sqrt(sin(x))) is ln(((1+sqrt(sin(x)))^2)/(1-sin(x)))