The inverse function value in degrees will be 45°. Option C is correct.
Assuming function 'f' is a one-to-one and onto function which is a need for inverses to exist. The inverse of the considered function is. f⁻¹(x).
The given function is;
f(x)=sin⁻¹(1/2)
The given function is arranged is;
x=sin⁻¹(1/2)
The given function in terms of sin;
sinx=1/2
Putting the values in terms of sin we get;
sinx=sin30°
x=30°
The inverse function value in degrees will be 45°.
Hence,option C is correct.
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