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z=\sqrt{2}\left(\frac{\sqrt{2}}{2}+\sin(\frac{\pi }{4})\right)
Get the value of \cos(\frac{\pi }{4}) from trigonometric values table.
z=\sqrt{2}\left(\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\right)
Get the value of \sin(\frac{\pi }{4}) from trigonometric values table.
z=\sqrt{2}\sqrt{2}
Combine \frac{\sqrt{2}}{2} and \frac{\sqrt{2}}{2} to get \sqrt{2}.
z=2
Multiply \sqrt{2} and \sqrt{2} to get 2.