which is equivalent to $sin^{-1}(-0.4)$? roun...
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. $-0.41$