Problem : If an arc of the unit circle has length , what is the measure of the central angle that intercepts that arc?

Solution for Problem 1 >>

radians

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Problem : The coordinates of a point on the unit circle are (0, sin(s) ). What is the value of s ?

Solution for Problem 2 >>

sin(s) = 1 , so s = +2Πn , where n is an integer.

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Problem : An angle in standard position intercepts the unit circle at (x, y) . The arc between (1,0) and (x, y) has length s . Solve for x and y in terms of s .

Problem : The $x$-coordinate of a point on the unit circle is . What are the possible y-coordinates?

Solution for Problem 4 >>

and .

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Problem : Is the equation for the unit circle a function?