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Popular >

inverse of pi+arcsin(2x-1)

Solution

inverse

π + arcsin (2 x - 1)

Solution

\frac{sin ( x - π ) + 1}{2}

Solution steps

Solve for

arcsin (2 x - 1), y = π + arcsin (2 x - 1)

arcsin (2 x - 1) = y - π

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

2 x - 1 = sin (y - π)

Solve for

x, 2 x - 1 = sin (y - π)

\frac{sin ( y - π ) + 1}{2}

Substitute

y = x

\frac{sin ( x - π ) + 1}{2}

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Frequently Asked Questions (FAQ)

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