The polar coordinates of a certain point are (r = 5.75 cm, ? = 230°). (a) Find i

Question

The polar coordinates of a certain point are (r = 5.75 cm, ? = 230°).
(a) Find its Cartesian coordinates x and y.
x = 1 cm
y = 2 cm

(b) Find the polar coordinates of the points with Cartesian coordinates (-x, y).
r = 3
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. cm
? = 4-40.0
Your response differs from the correct answer by more than 10%. Double check your calculations.°

(c) Find the polar coordinates of the points with Cartesian coordinates (-2x, -2y).
r = 5 cm
? = 6 °

(d) Find the polar coordinates of the points with Cartesian coordinates (3x, -3y).
r = 7 cm
? = 8

Explanation / Answer

The polar coordinates of a certain point are (r = 5.75 cm, ? = 230°).
(a) Find its Cartesian coordinates x and y.

x = r cos(230) = 5.75 cos(230) = -3.69602875569761

y = r sin(230) = 5.75 sin(230) = -4.40475554793414

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