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Popular Functions >

inverse of 2sin(2x)+3

Solution

inverse

2 sin (2 x) + 3

Solution

\frac{arcsin ( \frac{x - 3}{2} )}{2}

Solution steps

Solve for

sin (2 x), y = 2 sin (2 x) + 3

sin (2 x) = \frac{y - 3}{2}

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

2 x = arcsin (\frac{y - 3}{2})

Solve for

x, 2 x = arcsin (\frac{y - 3}{2})

\frac{arcsin ( \frac{y - 3}{2} )}{2}

Substitute

y = x

\frac{arcsin ( \frac{x - 3}{2} )}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of 2sin(2x)+3 ?
The inverse of 2sin(2x)+3 is (arcsin((x-3)/2))/(2)