Question

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

Answer 1

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 \(-\sin(9)\)

Answer 2

how though?

Answer 3

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

Answer 4

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

Answer 5

let me draw a picture

Answer 6

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

Answer 7

allrightt i got it thank you!!