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Popular Functions >

inverse of-5cos(2x)

Solution

inverse

- 5 cos (2 x)

Solution

\frac{arccos ( - \frac{x}{5} )}{2}

Solution steps

Solve for

cos (2 x), y = - 5 cos (2 x)

cos (2 x) = - \frac{y}{5}

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

2 x = arccos (- \frac{y}{5})

Solve for

x, 2 x = arccos (- \frac{y}{5})

\frac{arccos ( - \frac{y}{5} )}{2}

Substitute

y = x

\frac{arccos ( - \frac{x}{5} )}{2}

Graph

Popular Examples

inverse of f(x)=3-\sqrt[3]{x-2}

in v erse f (x) = 3 - 3 x - 2

asymptotes of f(x)=(x+1)/(x-2)

a sy m pt o t es f (x) = \frac{x + 1}{x - 2}

slope of y=4x-6

s l o p e y = 4 x - 6

parity f(x)=(3x+x^3+4)/(-5x^3-2x^2+5)

p a r i t y f (x) = \frac{3 x + x ^{3} + 4}{- 5 x ^{3} - 2 x ^{2} + 5}

inverse of f(x)=-1/(x+2)

in v erse f (x) = - \frac{1}{x + 2}

Frequently Asked Questions (FAQ)

What is the inverse of-5cos(2x) ?
The inverse of-5cos(2x) is (arccos(-x/5))/2