which is equivalent to sin^(-1)(0.75)? round your answer to the nearest hundredth of a radian. -1.33 -0.75…
which is equivalent to sin^(-1)(0.75)? round your answer to the nearest hundredth of a radian. -1.33 -0.75 0.68 0.85
Answer
Answer:
D. 0.85
Explanation:
Step1: Recall inverse - sine function
The inverse - sine function, $\sin^{-1}(x)$, gives the angle $\theta$ such that $\sin(\theta)=x$, where $-\frac{\pi}{2}\leq\theta\leq\frac{\pi}{2}$.
Step2: Use a calculator
We use a scientific calculator in radian mode to find $\sin^{-1}(0.75)$. $\sin^{-1}(0.75)\approx0.848062$.
Step3: Round the result
Rounding $0.848062$ to the nearest hundredth gives $0.85$.