Given that sinθ = x⁴. Which expression represents θ in terms of x?
arcsin(x⁴), sin(x⁴), arccos(x⁴), cos(x⁴)

Solution:

Given expression is sinθ = x⁴

Then the inverse function is

θ = arcsin(x⁴)

Similarly if

Tan θ = x⁴

Then,

θ = arctan x⁴

Given that sinθ = x⁴. Which expression represents θ in terms of x?

Summary:

Given that sinθ = x⁴, θ in terms of x is given by the expression θ = arcsin(x⁴)