What is (((cos(x)))/((2sin^2(x))))+(1/2)ln(x/2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (((cos(x)))/((2sin^2(x))))+(1/2)ln(x/2)

simplify

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

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

Solution steps

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

Apply log rule:

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

ln (\frac{x}{2}) = ln (x) - ln (2)

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

lo g_{7} (\frac{3 ^{6}}{5 \cdot 8 ^{4}})

ln (\frac{- v ^{2}}{2 α e ^{- β s}})

\frac{2}{3} ln (3 - x) - \frac{1}{3} ln (3 + x)

- lo g_{10} (6 \cdot 1 0^{- 7})

ln (\frac{6.5}{2.5})

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