Question

Use a calculator to approximate s in the interval[0, 7/2], if sins = .82584121.

Answer 1

The given question is

`sin(s)=0.82584121,s\rightarrow[0,(7)/(2)]`

We will use the inverse of sine to find s

`\begin{gathered} s=sin^(-1)(0.82584121) \\ s=0.9716923389 \end{gathered}`

Since sine has positive values in the 1st and 2nd quadrant, then we will have 2 values of s. One in the 1st quadrant and the other in the 2nd quadrant

`\begin{gathered} s=0.9716923389\text{ radian} \\ s=\pi-0.9716923389=2.169900315\text{ radian} \end{gathered}`

The answers are:

s = 0.9716923389

s = 2.169900315