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Popular >

inverse of-5cos(3x)

Solution

inverse

- 5 cos (3 x)

Solution

\frac{arccos ( - \frac{x}{5} )}{3}

Solution steps

Solve for

cos (3 x), y = - 5 cos (3 x)

cos (3 x) = - \frac{y}{5}

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

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

Solve for

x, 3 x = arccos (- \frac{y}{5})

\frac{arccos ( - \frac{y}{5} )}{3}

Substitute

y = x

\frac{arccos ( - \frac{x}{5} )}{3}

Popular Examples

periodicity of f(x)=5tan(x+pi/6)periodicity

f (x) = 5 tan (x + \frac{π}{6})

domain of f(x)=(x+6)/(x^2+5x)domain

f (x) = \frac{x + 6}{x ^{2} + 5 x}

intercepts of x^5-3x^4+3x^3-5x^2+12 intercepts

x^{5} - 3 x^{4} + 3 x^{3} - 5 x^{2} + 12

midpoint (1,5),(-1,-2)midpoint

(1, 5), (- 1, - 2)

domain of (x+2)/(x-7)domain

\frac{x + 2}{x - 7}

Frequently Asked Questions (FAQ)

What is the inverse of-5cos(3x) ?
The inverse of-5cos(3x) is (arccos(-x/5))/3