which is equivalent to $sin^{-1}(-0.4)$? round your answer to the nearest hundredth of a radian.\n-2.50\n-0.6…

which is equivalent to $sin^{-1}(-0.4)$? round your answer to the nearest hundredth of a radian.\n-2.50\n-0.60\n-0.41\n-0.39

which is equivalent to $sin^{-1}(-0.4)$? round your answer to the nearest hundredth of a radian.\n-2.50\n-0.60\n-0.41\n-0.39

Answer

Explanation:

Step1: Recall inverse - sine function

The inverse - sine function, $\sin^{-1}(x)$, gives an angle $\theta$ such that $\sin(\theta)=x$, and the range of $\sin^{-1}(x)$ is $\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$.

Step2: Use a calculator

Use a scientific calculator in radian mode to find $\sin^{-1}(-0.4)$. Enter $\sin^{-1}(-0.4)$ into the calculator. $\sin^{-1}(-0.4)\approx - 0.41$

Answer:

C. $-0.41$