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