Let (x, y) be the coordinates of a point on a circle of radius 5 centered at the origin that determines an angle of radians. What is x? Give your answer as a decimal with one place of accuracy to the right of the decimal point (in fact your decimal should be exact).

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A: Given problem is :

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A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

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A: I have appended the formula used in the solution part of the question

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A: see my solution below

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A: We have to find the direction vector first.

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A: This question is based on conversion of polar form into Cartesian form.

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