What is the inverse of f(x)=cos(pi/4-x) ?

The inverse of f(x)=cos(pi/4-x) is -(4arccos(x)-pi)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=cos(pi/4-x)

inverse

f (x) = cos (\frac{π}{4} - x)

- \frac{4 arccos ( x ) - π}{4}

Solution steps

cos (a) = b \Rightarrow a = arccos (b)

\frac{π}{4} - x = arccos (y)

Solve for

x, \frac{π}{4} - x = arccos (y)

- \frac{4 arccos ( y ) - π}{4}

Substitute

y = x

- \frac{4 arccos ( x ) - π}{4}

What is the inverse of f(x)=cos(pi/4-x) ?
The inverse of f(x)=cos(pi/4-x) is -(4arccos(x)-pi)/4