(a) Check the box “Show Unit Circle.” Be sure the “Show Graph” and “Show Key Points” boxes are unchecked. Use your cursor to slowly move the point on the “Drag me!” slider. Notice the point in blue on the unit circle moves in a counter-clockwise direction. Also, notice the points in red that are traced out. The x-coordinates of the points in red represent the measure of the angle in the unit circle and the y-coordinates of the points in red represent the y-coordinates of the point corresponding to the angle on the unit circle. As the angle increases from 0 to π/2 (≈1.57), the value of y = sin x increases from 0 to.

(b) As the angle increases from π/2 (≈1.57) to π (≈3.14), the value of y = sin x decreases from 1 to ______.

(c) As the angle increases from π to 3π/2 (≈4.71), the value of y = sin x decreases from 0 to.

(d) As the angle increases from 3π/2 (≈4.71) to 2π (≈6.28), the value of y = sin x increases from −1 to .

(e) Check the box “Show Graph.” Notice that the graph of the sine function continues indefinitely in both the negative and positive direction suggesting the domain of the sine function is the set of all real numbers. Uncheck the box “Show Unit Circle” and check the box “Show Key Points.” Based on the graph, what is the range of y = sin x? Use interval notation to write your answer.

(f) The graph of the function y = sin x is symmetric with respect to the______ (y-axis, x-axis, origin). The sine function is a(n)______ (even/odd) function.(g) The following ordered pairs represent points on the graph of y = sin x. Fill in the ordered pairs with the appropriate values assuming x is the angle and y is the value of the sine function at x.

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