Express sin 186 degrees as a sine function of a positive acute angle

Question

anonymous · Answer

not sure how you are going to get an acute angle out of this
it will be the same as $\sin(-9)$ 
perhaps you can say it is  $-\sin(9)$

anonymous · Answer

how though?

anonymous · Answer

scratch that, i am not paying attention
it is 186 degrees not 189

anonymous · Answer

so it is the same as $-\sin(6)$

anonymous · Answer

let me draw a picture

anonymous · Answer

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anonymous · Answer

since $186$ is in quadrant 3, you are below the horizontal axis and so sine is negative
go across the unit circle to get to 6 degrees, and acute angle, that has the same value as $\sin(186$ except it is positive
so 
$$\sin(186)=-\sin(6)$$ don't let the minus sign confuse you
$\sin(186)$ is negative so $-\sin(9)$ is positive

anonymous · Answer

allrightt i got it thank you!!