Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0, and one with r < 0. (a) (2, 5pi/6)
(b) (1, -2pi/3)
(c) (-1, 5pi/4)

The other pairs are:

  and

and

and

See attachment for plots

Step-by-step explanation:

Given

Solving (a): Plot a, b and c

See attachment for plots

Solving (b): Find other pairs for and

The general rule is that:

The other points can be derived using

and

Let ---- You can assume any value of n

So, we have:

So, the pairs are:

Take LCM

And

Take LCM

The other pairs are:

and

So, the pairs are:

Take LCM

And

Take LCM

The other pairs are:

and

So, the pairs are

Take LCM

And

Take LCM

So, the other pairs are:

and

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?

hi there!

the answer will be d: 2