Using the relationship between the degree and radian. Then the equivalent of [tex]\rm sin^{-1} (-0.4)[/tex] is 5.87 radians.
The equivalent is the functions that are in different forms but are equal to the same value.
Given
The expression is [tex]\rm sin ^{-1}(-0.4)[/tex].
Then the angle will be
[tex]\rm sin^{-1} (-0.4) = -23.58\\\\sin^{-1} (-0.4) = -23.58 + 360\\\\sin^{-1} (-0.4) = 336.42[/tex]
The angle 336.42 is in degrees.
Conversion of degree into radian.
[tex]\begin{aligned}\rm 1 degree &= \dfrac{2\pi}{360}\\\\336.42\rm \ degrees &= \dfrac{\pi}{180}*336.42 \\\\336.42 \rm \ degrees &= 5.87\end{aligned}[/tex]
Thus, The equivalent of [tex]\rm sin^{-1} (-0.4)[/tex] is 5.87 radians.
More about the equivalent link is given below.
https://brainly.com/question/10498970
