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