(a) Find the polar coordinates corresponding to (x, y) = (3.43, 1.30)
m =
θ =
what, you can't just apply your formulas?
r^2 = x^2 + y^2
tanθ = y/x
Not sure what "m" is -- most notation uses (r,θ) for polar coordinates.
I’ve solved for r, which is
R= to the square root of (3.43)^2 +(1.30)^2 which equals= 3.67m
Then r=y/x which is 1.30/3.43 which equals= 0.379
Then what I stuck on is the what the angle is
Which should be solved as tan^-1(0.379)=20.76 degrees + 180 degrees
But it’s saying I’m using the wrong degree sign
why did you add 180°? Clearly you are in the 1st quadrant.
It is easy to check. Use wolframalpha.com
If you think of your coordinate as a complex number, just type in
3.43+1.30i
and you get back the result (3.668,20.757°)
To find the polar coordinates corresponding to the Cartesian coordinates (x, y), we can use the following formulas:
r = √(x^2 + y^2) (to find the magnitude or distance from the origin)
θ = arctan(y / x) (to find the angle)
Let's substitute the given values:
For (x, y) = (3.43, 1.30):
First, find the magnitude (r):
r = √(3.43^2 + 1.30^2)
r = √(11.7649 + 1.69)
r ≈ √13.4549
r ≈ 3.667
Next, find the angle (θ):
θ = arctan(1.30 / 3.43)
θ ≈ arctan(0.3785)
θ ≈ 21.87 degrees
Therefore, the polar coordinates corresponding to (3.43, 1.30) are approximately:
r ≈ 3.667
θ ≈ 21.87 degrees
Note: θ is usually given in radians, so make sure to convert it to radians if needed.