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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-ln(cos(2x)+1))/2

simplify

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

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

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

Simplify

cos (2 x) + 1 : 2 cos^{2} (x)

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

sin ((\frac{3 π}{2}) - x)

sin (x) sin (- y)

1 - (cos (x - C))^{2}

7 cos (8 π t - \frac{π}{2})

cos (3 π + x)

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