1 Answer

Svikramjeet · Answer 1 · 2021-04-05T18:03:10+0000

We have been given that
r=10 and
$\theta =1.15\pi$ . We are asked to find the Cartesian coordinates.

We know that
$x=r\cdot \text{cos}(\theta)$ and
$y=r\cdot \text{sin}(\theta)$ .

Let us convert polar coordinates to Cartesian coordinates using above formula.

$x=10\cdot \text{cos}(1.15\pi)$

$x=10\cdot (-0.891006524188)$

x=-8.91006524188

Round to nearest hundredths:

$x\approx -8.91$

$y=10\cdot \text{sin}(1.15\pi)$

$y=10\cdot (-0.45399049974)$

y=-4.5399049974

Round to nearest hundredths:

$y\approx -4.54$

Therefore, the Cartesian coordinates will be
(-8.91,-4.54) and option 'b' is the correct choice.

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