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Popular >

inverse of 2arcsin(1/2 x)

Solution

inverse

2 arcsin (\frac{1}{2} x)

Solution

2 sin (\frac{x}{2})

Solution steps

Solve for

arcsin (\frac{1}{2} x), y = 2 arcsin (\frac{1}{2} x)

arcsin (\frac{1}{2} x) = \frac{y}{2}

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

\frac{1}{2} x = sin (\frac{y}{2})

Solve for

x, \frac{1}{2} x = sin (\frac{y}{2})

2 sin (\frac{y}{2})

Substitute

y = x

2 sin (\frac{x}{2})

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Frequently Asked Questions (FAQ)

What is the inverse of 2arcsin(1/2 x) ?
The inverse of 2arcsin(1/2 x) is 2sin(x/2)