Convert (3, 8) to polar coordinates, where r is positive and is measured in radians in the interval[0, 2π). Round to two decimal places.none of theseO (7.42, 0.36)O (8.54, 0.36)O (8.54, 1.21)

given (x,y)=(3,8)in polar coordinates (r,θ)r2=x2+y2tanθ=yxgiven r is positive and θ is in radians

Answered: Convert (3, 8) to polar coordinates,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.5: Polar Coordinates

Problem 8E

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Question

Convert (3, 8) to polar coordinates, where r is positive and is measured in radians in the interval
[0, 2π). Round to two decimal places.
none of these
O (7.42, 0.36)
O (8.54, 0.36)
O (8.54, 1.21)

Expert Solution

Step 1

$g i v e n (x, y) = (3, 8) i n p o l a r c o o r d i n a t e s (r, θ) r^{2} = x^{2} + y^{2} \tan θ = \frac{y}{x} g i v e n r i s p o s i t i v e a n d θ i s i n r a d i a n s$

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Convert (3, 8) to polar coordinates, where r is positive and is measured in radians in the interval [0, 2π). Round to two decimal places. none of these O (7.42, 0.36) O (8.54, 0.36) O (8.54, 1.21)