Question

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 1

Answer: option a.

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