Problem : If an arc of the unit circle has length , what is the measure of the central angle that intercepts that arc?radians
Problem : The coordinates of a point on the unit circle are (0, sin(s) ). What is the value of s ?sin(s) = 1 , so s = +2Πn , where n is an integer.
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 .x = cos(s) , and y = sin(s)
Problem : The $x$-coordinate of a point on the unit circle is . What are the possible y-coordinates?and .
Problem : Is the equation for the unit circle a function?No. For a given input ( x -coordinate), there is more than one output ( y - coordinate). For example, when x = 0 , y = 1 and -1.