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First draw the line of 150 degrees on the unit circle.
Now in part a) the question asks for cos(150) which is essentially asking what is the x-component of the line we drew at 150 degrees (remember when I showed that cos(theta) = x in the our video).
We can see from the triangle that:
cos(theta) = adj/hyp
cos(30)=x/1 => from our unit circle
BUT! It is on the negative side of the x-axis, so...