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Popular >

inverse of 10cos(2/5 x)

Solution

inverse

10 cos (\frac{2}{5} x)

Solution

\frac{5 arccos ( \frac{x}{10} )}{2}

Solution steps

Solve for

cos (\frac{2}{5} x), y = 10 cos (\frac{2}{5} x)

cos (\frac{2}{5} x) = \frac{y}{10}

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

\frac{2}{5} x = arccos (\frac{y}{10})

Solve for

x, \frac{2}{5} x = arccos (\frac{y}{10})

\frac{5 arccos ( \frac{y}{10} )}{2}

Substitute

y = x

\frac{5 arccos ( \frac{x}{10} )}{2}

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Frequently Asked Questions (FAQ)

What is the inverse of 10cos(2/5 x) ?
The inverse of 10cos(2/5 x) is (5arccos(x/(10)))/2