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

Popular >

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}

f (x) = \frac{x}{1 - x ^{2}}

f (x) = \frac{7}{10} x

\frac{x + 11}{15}

f (x) = \frac{3 x - 5}{x ^{2} - 2 x - 8}

\frac{( x ^{2} + 3 x - 4 )}{x + 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