The polar coordinates of a point are given. Find the rectangular coordinates of this point.
$(1, \frac{π}{3})$

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Final Answer: The rectangular coordinates of the point are approximately $(0.5, 0.866)$ .

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Step 1 ：The polar coordinates of a point are given as $(r, θ)$ , where r is the distance from the origin to the point and $θ$ is the angle from the positive x-axis to the point.

Step 2 ：To convert these polar coordinates to rectangular coordinates $(x, y)$ , we can use the following formulas: $x = r \cdot \cos (θ)$ and $y = r \cdot \sin (θ)$ .

Step 3 ：In this case, r = 1 and $θ = \frac{π}{3}$ .

Step 4 ：Substituting these values into the formulas, we get $x = 1 \cdot \cos (\frac{π}{3}) = 0.5$ and $y = 1 \cdot \sin (\frac{π}{3}) = 0.866$ .

Step 5 ：Final Answer: The rectangular coordinates of the point are approximately $(0.5, 0.866)$ .

The polar coordinates of a point are given. Find the rectangular coordinates of this point.(1,π3)

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The polar coordinates of a point are given. Find the rectangular coordinates of this point.
$(1, \frac{π}{3})$