What is ln(sin(x))-ln(cos(x)) ?

The solution to ln(sin(x))-ln(cos(x)) is ln(tan(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(sin(x))-ln(cos(x))

simplify

ln (sin (x)) - ln (cos (x))

ln (tan (x))

Solution steps

ln (sin (x)) - ln (cos (x))

Apply log rule:

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

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

= ln (\frac{sin ( x )}{cos ( x )})

Rewrite using trig identities

= ln (tan (x))

ln (\frac{1}{s ^{2}})

- lo g_{10} (5.6 \cdot 1 0^{- 2})

ln (2) \cdot \frac{15}{2}

ln ((x + y - 1) (x + y^{2} - 3))

ln (\frac{( x ^{8} )}{x - 4})

What is ln(sin(x))-ln(cos(x)) ?
The solution to ln(sin(x))-ln(cos(x)) is ln(tan(x))