Wednesday, March 20, 2013

Calculate sin 150=?

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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