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determine two pairs of polar coordinates for the point (4, -4) with

Sagot :

Answer:

(4√2cos 135,  4√2sin135)

Step-by-step explanation:

determine two pairs of polar coordinates for the point (4, -4) with

Given the rectangular coordintate

r = √4²+(-4)²

r = √16+16

r = √32

r = √16*2

r =4√2

Theta = arctan(-4/4)

theta = arctan(-1)

theta = -45

theta = 180 - 45

theta = 135 degrees

x = rcos theta

y = rsin theta

x = 4√2cos 135

y = 4√2sin135