To find out the value of sin 150 , we'll choose to use the
formula:
sin(a-b) = sin a cos b - sin b cos
a
We'll write 150 as 180-30, so sin 150 = sin
(180-30)
sin (180-30) = sin 180 cos 30 - sin 30 cos
180
sin180 = 0
sin 30 =
1/2
cos 30 = sqrt3/2
cos 180 =
-1
sin 180 cos 30 - sin 30 cos 180 =
0-(1/2)(-1)=1/2
sin150 = sin30 =
1/2
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