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\sin(150)
Subtract 30 from 180 to get 150.
\sin(90+60)=\sin(90)\cos(60)+\sin(60)\cos(90)
Use \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) where x=90 and y=60 to obtain the result.
1\cos(60)+\sin(60)\cos(90)
Get the value of \sin(90) from trigonometric values table.
1\times \frac{1}{2}+\sin(60)\cos(90)
Get the value of \cos(60) from trigonometric values table.
1\times \frac{1}{2}+\frac{\sqrt{3}}{2}\cos(90)
Get the value of \sin(60) from trigonometric values table.
1\times \frac{1}{2}+\frac{\sqrt{3}}{2}\times 0
Get the value of \cos(90) from trigonometric values table.
\frac{1}{2}
Do the calculations.