Question

find the exact value sin(5pi/6). If you could show the steps it would be greatly appreciated.

Answer 1

step one plug into calculator
step two click enter
step three you have answer

Answer 2

step one
look at that unit circle on the cheat sheet i sent you
step two
find \(\frac{5\pi}{6}\) on the circle, then find the coordinates on the circle
step three
the second coordinate is sine, that is your answer

i am not being silly
that is how you do this

Answer 3

Or you can plug it in the calculator? I mean if you're just going to look at a unit circle and figure it out that way might as well use a calculator.

Answer 4

Thank you, I appreciate it. I went to close the last one because my problem was answered, but after I did that it would not allow me to open it. I did download the Sheet, thank you.

Answer 5

Ryan, your response is appreciated as well. However, I was trying to grasp a better understanding of how to do it majorly without the calculator.

Answer 6

5pi/6=(pi-pi/6)
sin(pi-x)=sinx
therefore sin(5pi/6)=sin(pi/6)=1/2

Answer 7

unless you have a fancy calculator it will not help
your calculator will not display \(\frac{\sqrt{3}}{2}\) for example

Answer 8

here is the cheat sheet again

Answer 9

it is on the site "Paul's notes" which is very helpful and has lots of nice cheat sheets as well

Answer 10

There is always wolfram!!

Answer 11

yeah, that will work, as long as you don't have to
a) learn anything
b) take an in class exam

Answer 12

and wolfram explains everything to you

Answer 13

\[\sin \frac{ 5\pi }{6 }=\sin \left( \pi-\frac{ \pi }{ 6 } \right)=\sin \frac{ \pi }{ 6 }=\frac{ 1 }{2 }\]