Question #1 Question 3 Tutorial Exercise A point is located in a polar coordinat

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Tutorial Exercise A point is located in a polar coordinate system by the coordinates r 5.7 m and 8 33 Find the x- and y coordinates of this point, assuming that the two coordinate systems have the same origin Step 1 The point P is shown in the figure with its polar coordinates labeled by r and 8 and with its Cartesian coordinates labeled by x and y. Since the shaded area is a right triangle, basic trigonometry can be used to convert from the polar coordinates to the corresponding Cartesian coordinates We know that the cosine of the angle 6 is the ratio of the length of the adjacent side to the length of the hypotenuse of the triangle. We have cos and solving for x gives r cos Your response differs from the correct answer by more than 10%. Double check your calculations. m COS Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four Your response differs from the correct answer by more than 100%. m.

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A point is located in a polar coordinate system by the coordinates r = 3.1 m and ? = 30

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