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Popular >

inverse of f(x)=5sin(x)-6

Solution

inverse

f (x) = 5 sin (x) - 6

Solution

arcsin (\frac{x + 6}{5})

Solution steps

Solve for

sin (x), y = 5 sin (x) - 6

sin (x) = \frac{y + 6}{5}

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

arcsin (\frac{y + 6}{5})

Substitute

y = x

arcsin (\frac{x + 6}{5})

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5sin(x)-6 ?
The inverse of f(x)=5sin(x)-6 is arcsin((x+6)/5)