Evaluate sin^-1 1/2 . Round your answer to the nearest hundredth.

Question

jdoe0001 · Answer

the w0t?   check your Unit Circle

jdoe0001 · Answer

$\bf sin^{-1}\left( \frac{1}{2} \right)\implies ?$

that is, "what is the angle whose sine is 1/2?"

anonymous · Answer

ok so we are going to start by drawing this on a coordinate plane|dw:1454370779974:dw|

anonymous · Answer

since it is opposite over hypotenuse you label those 2 sides and you realize it is a special right triangle which will make the last side root 3

anonymous · Answer

we know that whatever angle is opposite the root 3 is 60 degrees, so that would make the inside angle we are looking for 30 degrees, which in radians is $$\frac{ \pi }{ 6}$$

anonymous · Answer

and that is your answer. any questions? do you understand now?

anonymous · Answer

how do i round to the nearest hundredth?????

anonymous · Answer

put pi/6 into your calculator and round it off

anonymous · Answer

THANK YOU!!!!

anonymous · Answer

yep no problem!