What is the inverse of sin^4(x) ?

The inverse of sin^4(x) is arcsin(\sqrt[4]{x}),arcsin(-\sqrt[4]{x})

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inverse of sin^4(x)

inverse

sin^{4} (x)

Solution steps

Solve for

sin (x), y = sin^{4} (x)

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

Substitute

y = x

3 x - 9

(- 6, \frac{8}{11}), (6, \frac{8}{11})

x^{2} - 3 x - 4

f (x) = (x - 1)^{2} (x + 2)

y = 4 x - 2, (4, - 11)

What is the inverse of sin^4(x) ?
The inverse of sin^4(x) is arcsin(\sqrt[4]{x}),arcsin(-\sqrt[4]{x})