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Popular >

inverse of arcsin(e^x-1)

Solution

inverse

arcsin (e^{x} - 1)

Solution

ln (sin (x) + 1)

Solution steps

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

e^{x} - 1 = sin (y)

Solve for

x, e^{x} - 1 = sin (y)

ln (sin (y) + 1)

Substitute

y = x

ln (sin (x) + 1)

Popular Examples

inverse of f(x)=1-cos(x)inverse

f (x) = 1 - cos (x)

inverse of f(x)=-5+1/2 x inverse

f (x) = - 5 + \frac{1}{2} x

inverse of x^8 inverse

x^{8}

inverse of f(3)=-n+1 inverse

f (3) = - n + 1

inverse of f(x)=-x+8 inverse

f (x) = - x + 8

Frequently Asked Questions (FAQ)

What is the inverse of arcsin(e^x-1) ?
The inverse of arcsin(e^x-1) is ln(sin(x)+1)