Question

Find the value of each expression in radians

Answer 1

\[ \sin^{-1} 1=x\]

Answer 2

do you know a number \(\theta\) with \(\sin(\theta)=1\) ?

Answer 3

No is that when sinx=1?

Answer 4

yes, you are looking for the \(x\) where \(\sin(x)=1\)

Answer 5

How do I do that?

Answer 6

i guess you are just supposed to know it
look at the unit circle on the last page of the attached cheat sheet
you will see where the second coordinate on the unit circle (that is sine) is 1

Answer 7

look right up top on the unit circle
let me know if you see what i am referring to

Answer 8

I see it. So how do I plug what I have into it?

Answer 9

you see right on top of the unit circle is the point \((0,1)\) right?

Answer 10

yes

Answer 11

the corresponding angle in radians is \(\frac{\pi}{2}\) and in degrees is 90
that means \(\sin(\frac{\pi}{2})=1\)

Answer 12

and that means \(\sin^{-1}(1)=\frac{\pi}{2}\)
you don't plug it in to anything
you just look for it