Baholash
-\frac{\sqrt{2}}{2}\approx -0,707106781
Baham ko'rish
Klipbordga nusxa olish
\sin(\frac{3\pi }{2}+\frac{\pi }{4})=\sin(\frac{3\pi }{2})\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\frac{3\pi }{2})
Natijani olish uchun x=\frac{3\pi }{2} va y=\frac{\pi }{4} boʻlganda, \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) formulasidan foydalaning.
-\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\frac{3\pi }{2})
Trigonometrik qiymatlar jadvaldan \sin(\frac{3\pi }{2}) qiymatini oling.
-\frac{\sqrt{2}}{2}+\sin(\frac{\pi }{4})\cos(\frac{3\pi }{2})
Trigonometrik qiymatlar jadvaldan \cos(\frac{\pi }{4}) qiymatini oling.
-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\cos(\frac{3\pi }{2})
Trigonometrik qiymatlar jadvaldan \sin(\frac{\pi }{4}) qiymatini oling.
-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\times 0
Trigonometrik qiymatlar jadvaldan \cos(\frac{3\pi }{2}) qiymatini oling.
-\frac{\sqrt{2}}{2}
Hisoblarni amalga oshiring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
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Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}