Evaluate
-\frac{1}{2}=-0.5
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\sin(180+30)=\sin(180)\cos(30)+\sin(30)\cos(180)
Use \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) where x=180 and y=30 to obtain the result.
0\cos(30)+\sin(30)\cos(180)
Get the value of \sin(180) from trigonometric values table.
0\times \frac{\sqrt{3}}{2}+\sin(30)\cos(180)
Get the value of \cos(30) from trigonometric values table.
0\times \frac{\sqrt{3}}{2}+\frac{1}{2}\cos(180)
Get the value of \sin(30) from trigonometric values table.
0\times \frac{\sqrt{3}}{2}+\frac{1}{2}\left(-1\right)
Get the value of \cos(180) from trigonometric values table.
-\frac{1}{2}
Do the calculations.
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