Kako pretvorite 9 = (5x + y) ^ 2-2y + x v polarno obliko?

Odgovor:

# r = 9 / (r (5costheta + sintheta) ^ 2-2sintheta + costheta) #

Pojasnilo:

Za to bomo potrebovali:

# x = rcostheta #

# y = rsintheta #

Zamenjava teh enačb nam daje:

# 9 = (5rcostheta + rsintheta) ^ 2-2rsintheta + rcostheta #

# 9 = r ^ 2 (5costheta + sintheta) ^ 2-2rsintheta + rcostheta #

# 9 = r (r (5costheta + sintheta) ^ 2-2sintheta + costheta) #

# r = 9 / (r (5costheta + sintheta) ^ 2-2sintheta + costheta) #