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Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 25°. (x, y) = Round your answers to three decimal places.

User Pracede
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1 Answer

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Explanation:

that means it is the top vertex of the inscribed trigonometric triangle.

we assume the center of the circle is at the origin (0, 0).

so, the x-coordinate is then

cos(25°)×5 = 4.531538935... ≈ 4.532

the y-coordinate is then

sin(25°)×5 = 2.113091309... ≈ 2.113

remember, the basic trigonometric functions deliver these lengths inside the norm circle (radius = 1). for any other circle we need to multiply them by the actual radius.

the point on the circle at 25° is at

(4.532, 2.113)

User Eugene  Maksimov
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