Question

Which is equivalent to sin-1(–0. 4)? Round your answer to the nearest hundredth of a radian.

Answer 1

Using the relationship between the degree and radian. Then the equivalent of $\rm sin^{-1} (-0.4)$ is 5.87 radians.

What is an equivalent function?

The equivalent is the functions that are in different forms but are equal to the same value.

Given

The expression is $\rm sin ^{-1}(-0.4)$.

Then the angle will be

$\rm sin^{-1} (-0.4) = -23.58\\\\sin^{-1} (-0.4) = -23.58 + 360\\\\sin^{-1} (-0.4) = 336.42$

The angle 336.42 is in degrees.

Conversion of degree into radian.

$\begin{aligned}\rm 1 degree &= \dfrac{2\pi}{360}\\\\336.42\rm \ degrees &= \dfrac{\pi}{180}*336.42 \\\\336.42 \rm \ degrees &= 5.87\end{aligned}$

Thus, The equivalent of $\rm sin^{-1} (-0.4)$ is 5.87 radians.

More about the equivalent link is given below.

brainly.com/question/10498970