Question

Convert the rectangular coordinates (5, ?4) to polar coordinates \\ $(r, \theta)$, where $r$ is positive and $\theta$ is expressed in radians and in the \\ interval $[0, 2\pi)$. \\ Round both $r$ and $\theta$ to the nearest hundredth.

          Convert the rectangular coordinates (5, ?4) to polar coordinates \\
$(r, \theta)$, where $r$ is positive and $\theta$ is expressed in radians and in the \\
interval $[0, 2\pi)$. \\
Round both $r$ and $\theta$ to the nearest hundredth.

Convert the rectangular coordinates (5, ?4) to polar coordinates

(r, θ), where r is positive and θ is expressed in radians and in the

interval [0, 2π).

Round both r and θ to the nearest hundredth.

Added by Raul R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Yujie Wang

Step 1

To convert rectangular coordinates to polar coordinates, we can use the following formulas: r = sqrt(x^2 + y^2) θ = arctan(y/x) In this case, x = 5 and y = 0. r = sqrt(5^2 + 0^2) = sqrt(25) = 5 θ = arctan(0/5) = arctan(0) = 0 So, the polar coordinates are (5, Show more…

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Convert the rectangular coordinates (5, (r 0) where polar coordinates is positive and 0 is expressed interval [0,2x) radians and in the Round both and 0 to the nearest hundredth