sin(105div180*2pi) eching

$$\sin ( 105 \div 180 \times 2 \pi )$$

Baholash

$$-\frac{1}{2}=-0,5$$

Yechim qadamlari

\frac{105}{180} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sin(\frac{7}{12}\times 2\pi )$$

\frac{7}{6} hosil qilish uchun \frac{7}{12} va 2 ni ko'paytirish.

$$\sin(\frac{7}{6}\pi )$$

Natijani olish uchun x=\pi va y=\frac{\pi }{6} boʻlganda, \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) formulasidan foydalaning.

$$\sin(\pi +\frac{\pi }{6})=\sin(\pi )\cos(\frac{\pi }{6})+\sin(\frac{\pi }{6})\cos(\pi )$$

Trigonometrik qiymatlar jadvaldan \sin(\pi ) qiymatini oling.

$$0\cos(\frac{\pi }{6})+\sin(\frac{\pi }{6})\cos(\pi )$$

Trigonometrik qiymatlar jadvaldan \cos(\frac{\pi }{6}) qiymatini oling.

$$0\times \frac{\sqrt{3}}{2}+\sin(\frac{\pi }{6})\cos(\pi )$$

Trigonometrik qiymatlar jadvaldan \sin(\frac{\pi }{6}) qiymatini oling.

$$0\times \frac{\sqrt{3}}{2}+\frac{1}{2}\cos(\pi )$$

Trigonometrik qiymatlar jadvaldan \cos(\pi ) qiymatini oling.

$$0\times \frac{\sqrt{3}}{2}+\frac{1}{2}\left(-1\right)$$

Hisoblarni amalga oshiring.

$$-\frac{1}{2}$$

Omil

$$-\frac{1}{2} = -0,5$$