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1+\cos(45)
Get the value of \sin(90) from trigonometric values table.
1+\frac{\sqrt{2}}{2}
Get the value of \cos(45) from trigonometric values table.
\frac{2}{2}+\frac{\sqrt{2}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.
\frac{2+\sqrt{2}}{2}
Since \frac{2}{2} and \frac{\sqrt{2}}{2} have the same denominator, add them by adding their numerators.