which is equivalent to sin⁻¹(0.75)? round your answer to the nearest hundredth of a radian. -1.33 -0.75 0.68…

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

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

Explanation:

Step1: Recall inverse - sine function

The inverse - sine function, $\sin^{-1}(x)$, gives the angle $\theta$ such that $\sin(\theta)=x$, where $-\frac{\pi}{2}\leq\theta\leq\frac{\pi}{2}$. We need to find $\theta$ such that $\sin(\theta) = 0.75$.

Step2: Use a calculator

On a scientific calculator, set the mode to radians. Then, calculate $\sin^{-1}(0.75)$. $\sin^{-1}(0.75)\approx0.85$ (rounded to the nearest hundredth).

Answer:

D. 0.85