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Popular >

inverse of-2cos(5x)

Solution

inverse

- 2 cos (5 x)

Solution

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

Solution steps

Solve for

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

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

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

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

Solve for

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

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

Substitute

y = x

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

Popular Examples

extreme f(x)=-x^3+3x-6 extreme points

f (x) = - x^{3} + 3 x - 6

periodicity of f(x)=5sin(1/4 pix-pi)-3 periodicity

f (x) = 5 sin (\frac{1}{4} π x - π) - 3

amplitude of 3cos(pix-2)+5 amplitude

3 cos (π x - 2) + 5

inflection f(x)=x^2+7x+1 inflection points

f (x) = x^{2} + 7 x + 1

shift f(x)=8cos(2x-30)+7 shift

f (x) = 8 cos (2 x - 3 0^{\circ}) + 7

Frequently Asked Questions (FAQ)

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