en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of y= 1/2 cos(x/2)

Solution

inverse

y = \frac{1}{2} cos (\frac{x}{2})

Solution

2 arccos (2 x)

Solution steps

Solve for

cos (\frac{x}{2}), y = \frac{1}{2} cos (\frac{x}{2})

cos (\frac{x}{2}) = 2 y

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

\frac{x}{2} = arccos (2 y)

Solve for

x, \frac{x}{2} = arccos (2 y)

2 arccos (2 y)

Substitute

y = x

2 arccos (2 x)

Popular Examples

inverse of f(x)=(4x-5)/(5x+3)inverse

f (x) = \frac{4 x - 5}{5 x + 3}

inverse of f(x)=10*ln(1/(1+x))inverse

f (x) = 10 \cdot ln (\frac{1}{1 + x})

inverse of d/d (x-1)/(x+2)inverse

\frac{d}{d} \frac{x - 1}{x + 2}

inverse of f(x)=(2x^3+4)/6 inverse

f (x) = \frac{2 x ^{3} + 4}{6}

inverse of f(x)=2^2+9x-18 inverse

f (x) = 2^{2} + 9 x - 18

Frequently Asked Questions (FAQ)

What is the inverse of y= 1/2 cos(x/2) ?
The inverse of y= 1/2 cos(x/2) is 2arccos(2x)