What is the inverse of-23.6(1000sin(x)-225)+822.2 ?

The inverse of-23.6(1000sin(x)-225)+822.2 is arcsin((-5x+30661)/(118000))

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inverse of-23.6(1000sin(x)-225)+822.2

inverse

arcsin (\frac{- 5 x + 30661}{118000})

Solution steps

Solve for

sin (x), y = - 23.6 (1000 sin (x) - 225) + 822.2

sin (x) = \frac{- 5 y + 30661}{118000}

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

arcsin (\frac{- 5 y + 30661}{118000})

Substitute

y = x

arcsin (\frac{- 5 x + 30661}{118000})

What is the inverse of-23.6(1000sin(x)-225)+822.2 ?
The inverse of-23.6(1000sin(x)-225)+822.2 is arcsin((-5x+30661)/(118000))