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0+\left(\cos(\frac{\pi }{4})\right)^{2}
Get the value of \cos(\frac{\pi }{2}) from trigonometric values table.
0+\left(\frac{\sqrt{2}}{2}\right)^{2}
Get the value of \cos(\frac{\pi }{4}) from trigonometric values table.
0+\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}
To raise \frac{\sqrt{2}}{2} to a power, raise both numerator and denominator to the power and then divide.
\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}
Anything plus zero gives itself.
\frac{2}{2^{2}}
The square of \sqrt{2} is 2.
\frac{2}{4}
Calculate 2 to the power of 2 and get 4.
\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.