Question

find the exact value: arcsin (sqrt(3))/2

Answer 1

Do you know what value of sin is sqrt{3}/2 ??

Answer 2

whoops, I mean arcsin (sqrt(3)/2)

Answer 3

Answer above question..

Answer 4

\[\sin^{-1} \frac{ \sqrt{3} }{ 2 }\]

Answer 5

pi/3

Answer 6

Yep..

Answer 7

That's what I thought it was, it just seemed like too easy a question for the final. Thanks.

Answer 8

\[\sin^{-1}(\frac{\sqrt{3}}{2}) \implies \sin^{-1}(\sin \frac{\pi}{3}) \implies \frac{\pi}{3}\]

Answer 9

I understand the answer as it relates to the unit circle, but the second operation in that chain confuses me.

Answer 10

It is okay..

Answer 11

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

Answer 12

Okay, thanks.

Answer 13

You are welcome dear..

Answer 14

You know that sin{pi/3) = sqrt{3}/2,
so in second step we are just placing this value in place of sqrt{3}/2..