Question

Find the exact value.

sin-1(sqrt3/2)

Answer 1

60 degrees... you can use the calculator to calculate it :)

Answer 2

How would I type that into my calculator? Because when I try to, it says error.

Answer 3

And 60 degrees is equal to pi/3, correct?

Answer 4

forget degrees you are a grown up

Answer 5

you are looking for the number between \(-\frac{\pi}{2}\) and \(\frac{\pi}{2}\) whose sine is \(\frac{\sqrt{3}}{2}\)
that number is \(\frac{\pi}{3}\)

Answer 6

Okay, but how do I figure out what number that is? I have no clue how to do this problem.

Answer 7

you do it by knowing specific values for sine and cosine, and working backwards
in other words, somewhere in your mind you know that
\[\sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2}\]

Answer 8

Oh, okay.

Answer 9

or, you look at the second coordinate on the unit circle in the attached cheat sheet
http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf

Answer 10

when you see \(\frac{\sqrt{3}}{2}\) as the second coordinate, (which is sine) then look at the "angle" that gave it, you will see \(\frac{\pi}{3}\)

Answer 11

Ok, printing that! Thanks.