Asosiy tarkibga o'tish

9.6-bo'lim : Qutb koordinatalari

2. Nuqtaning qutb koordinatalari \(\left( { - 5,0.23} \right)\). Nuqta uchun dekart koordinatalarini aniqlang.

Yechim

Haqiqatan ham bu muammo uchun juda ko'p narsa yo'q. Bizda \(r = - 5\) va \(\theta = 0.23\) borligini ko'rishimiz mumkin (albatta radianlarda!). Bularga ega bo'lganimizdan so'ng, olish uchun ushbu bo'limdagi formulalarga ulanishimiz kerak,

\[x = r\cos \theta = \left( { - 5} \right)\cos \left( {0.23} \right) = - 4.8683\hspace{0.25in}y = r\sin \theta = \left( { - 5} \right)sin\left( {0.23} \right) = - 1.1399\]

Demak, nuqta uchun Dekart koordinatalari,

\[\require{bbox} \bbox[2pt,border:1px solid black]{{\left( { - 4.8683,\, - 1.1399} \right)}}\]