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Popular Functions >

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)

Graph

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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)