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°)

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

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?