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Popular >

inverse of 1/(1+sin(x))

Solution

inverse

\frac{1}{1 + sin ( x )}

Solution

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

Solution steps

Solve for

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

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

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

arcsin (\frac{1}{y} - 1)

Substitute

y = x

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

Popular Examples

inverse of g(x)=(2x+3)/(2-x)inverse

g (x) = \frac{2 x + 3}{2 - x}

inverse of f(x)=((6x-4))/(2-x)inverse

f (x) = \frac{( 6 x - 4 )}{2 - x}

inverse of f(x)=(6x+6)/(5x+7)inverse

f (x) = \frac{6 x + 6}{5 x + 7}

inverse of f(x)= y/4-(y^2)/2-1/8 inverse

f (x) = \frac{y}{4} - \frac{y ^{2}}{2} - \frac{1}{8}

inverse of sqrt((e^x-6)/(5-e^x))inverse

\frac{e ^{x} - 6}{5 - e ^{x}}

Frequently Asked Questions (FAQ)

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