Coordinate Geometry-16

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Write the rectangular coordinates of the point (6, 60⁰)

Solution: r = 6; Θ = 60⁰

x = r cos Θ = 6 cos 60⁰ = 6 x 1/2 = 3

y = r sin Θ = 6 sin 60⁰ = 6 x √3 / 2 = 3 √3

Rectangular coordinates of the point are (3, 3 √3)