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\sin(\pi +\frac{\pi }{4})=\sin(\pi )\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\pi )
Natijani olish uchun x=\pi va y=\frac{\pi }{4} boʻlganda, \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) formulasidan foydalaning.
0\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\pi )
Trigonometrik qiymatlar jadvaldan \sin(\pi ) qiymatini oling.
0\times \frac{\sqrt{2}}{2}+\sin(\frac{\pi }{4})\cos(\pi )
Trigonometrik qiymatlar jadvaldan \cos(\frac{\pi }{4}) qiymatini oling.
0\times \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\cos(\pi )
Trigonometrik qiymatlar jadvaldan \sin(\frac{\pi }{4}) qiymatini oling.
0\times \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\left(-1\right)
Trigonometrik qiymatlar jadvaldan \cos(\pi ) qiymatini oling.
-\frac{\sqrt{2}}{2}
Hisoblarni amalga oshiring.