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Value of sin45=1/root2
And value of cos60=1/2
So,sin45+cos60=1/root2+1/2
=1/root2×root2/root2+1/2
=root2/2+1/2
=(root2+1)/2(ans)
You can also refer to the page below.
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sin45=1/root2
cos60=1/2
sin45+cos60=1/2+1/root2
4+4root2/8
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