SOLUTION: The rectangular coordinates (2, square root of 3 can be written by all of the following except one. Which one? A. (-4, 2pi/3) B. (4,

SOLUTION: The rectangular coordinates (2, square root of 3 can be written by all of the following except one. Which one? A. (-4, 2pi/3) B. (4, - pi/3) C. (-4, 8pi/3) D. (4, -2pi/3) E. (

Question 1197763: The rectangular coordinates (2, square root of 3 can be written by all of the following except one. Which one?
A. (-4, 2pi/3)
B. (4, - pi/3)
C. (-4, 8pi/3)
D. (4, -2pi/3)
E. (4, 5pi/3)
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A and B are equivalent because the magnitudes are opposite and the angles differ by pi radians.

C is equivalent to A because the magnitudes are the same and the angles differ by 2pi.

E is equivalent to B because the magnitudes are the same and the angles differ by 2pi.

D is NOT equivalent to B because the magnitudes are the same and the angles differ by pi/3.

So A, B, C, and E are equivalent; D is different.

But NONE of them are equivalent to (2,sqrt(3)). That point is in quadrant I; D is in quadrant III and the others are in quadrant IV.

The statement of the problem is faulty.

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

The polar form is
r = radius
theta = = angle

Useful formulas

In this case, the rectangular point we have is
which breaks down into and
So,

This is the distance from the origin (0,0) to the point

Unfortunately, none of the answer choices of the form have .
This means there's either a typo in the answer choices somewhere, or a typo in the given (x,y) rectangular coordinates.

RELATED QUESTIONS
POLAR COORDINATES AND COMPLEX NUMBERS: Find the polar coordinates of the points with... (answered by Fombitz)
Consider the equation x^3-9x^2-10x+90=0. All of the following are roots of the equation... (answered by MathLover1,math_tutor2020)
Convert (3,3) into polar parameters. One of the following is the correct answer. Which... (answered by Alan3354,ikleyn)
Evaluate tan(-240 degrees( The correct answer is one of the following. Which one?... (answered by Theo)
Find all values of x that satisfy the equation 2cosx-1=0, in the interval [0, 2pi] The (answered by ikleyn,MathLover1)
I can't receive the help I need so it would be much appreciated if a tutor can look over... (answered by stanbon)
If a^2 b = 12^2 , and b is an odd integer, then a could be divisible by all of the... (answered by richwmiller)
What is the exact value of tan(15 degrees)? The correct answer is one of the... (answered by Alan3354,Theo,MathTherapy,math_tutor2020)
Which of the following coordinates would be included in the graph y = 3x + 2?... (answered by nerdybill)