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Popular Functions >

inverse of-2sin((x-pi)/2)

Solution

inverse

- 2 sin (\frac{x - π}{2})

Solution

2 arcsin (- \frac{x}{2}) + π

Solution steps

Solve for

sin (\frac{x - π}{2}), y = - 2 sin (\frac{x - π}{2})

sin (\frac{x - π}{2}) = - \frac{y}{2}

sin (a) = b \Rightarrow a = arcsin (b)

\frac{x - π}{2} = arcsin (- \frac{y}{2})

Solve for

x, \frac{x - π}{2} = arcsin (- \frac{y}{2})

2 arcsin (- \frac{y}{2}) + π

Substitute

y = x

2 arcsin (- \frac{x}{2}) + π

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of-2sin((x-pi)/2) ?
The inverse of-2sin((x-pi)/2) is 2arcsin(-x/2)+pi