What is simplify-ln(cos(x))+ln(c) ?

The solution to simplify-ln(cos(x))+ln(c) is ln(csec(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln(cos(x))+ln(c)

simplify

- ln (cos (x)) + ln (c)

ln (c sec (x))

Solution steps

- ln (cos (x)) + ln (c)

Apply log rule:

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

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

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

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= ln (c sec (x))

ln (\frac{112}{100}) + (\frac{1}{2} \cdot 0. 2^{2} - 0.05) \cdot 0.5

- lo g_{10} (4.2 \cdot 1 0^{- 4})

ln (70) - ln (x)

ln (50) - 2 ln (5)

- 2 ln (\frac{0.0855}{0.0876})

What is simplify-ln(cos(x))+ln(c) ?
The solution to simplify-ln(cos(x))+ln(c) is ln(csec(x))