Determine two pairs of polar coordinates for (4,4) when 0° < θ < 360°

a (4√2, 45°), (-4√2, 225°)

b (4√2, 315°), (-4√2, 135°)

c (4√2, 135°), (-4√2, 315°)

d (4√2, 225°), (-4√2, 45°)

Answer: option a.

Step-by-step explanation:

In polar coordinates we have that:

x = r*cos (θ)

y = r*sin (θ)

we know that x = 4 and y = 4. now let's analyze the options:

a) x = 4√2*cos (45°) = 4 nice.

y = - 4√2*sin (225°) = 4 nice

Option a is correct

b) x = 4√2*cos (315°) = 4 nice

y = - 4√2*sin (135°) = - 4 incorrect

option b is not correct

c) x = 4√2*cos (135°) = - 4 incorrect

Option c is not correct

d) x = 4√2*cos (225°) = - 4 incorrect

option d is not correct