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\cos(180+60)=\cos(180)\cos(60)-\sin(60)\sin(180)
Use \cos(x+y)=\cos(x)\cos(y)-\sin(y)\sin(x) where x=180 and y=60 to obtain the result.
-\cos(60)-\sin(60)\sin(180)
Get the value of \cos(180) from trigonometric values table.
-\frac{1}{2}-\sin(60)\sin(180)
Get the value of \cos(60) from trigonometric values table.
-\frac{1}{2}-\frac{\sqrt{3}}{2}\sin(180)
Get the value of \sin(60) from trigonometric values table.
-\frac{1}{2}-\frac{\sqrt{3}}{2}\times 0
Get the value of \sin(180) from trigonometric values table.
-\frac{1}{2}
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