Move the theta slider to investigate unit circle values.

1) Use the app above to find [math] (cos \theta, sin \theta) [/math] for each of these angles: 30, 45, 60, 90, 120, 135, 150, and 180 degrees. Sketch and label each angle on your unit circle handout.[br][br]2) Use the patterns on your unit circle to predict (cos 210, sin 210). Then use the app to verify your prediction and add it to your unit circle.[br][br]3) Predict and check cosine and sine of the following angles: 225, 240, 270, 300, 315, and 330 degrees. Add them to your unit circle.[br][br]4) As you change the angle from 0 to 360 degrees, when is cosine positive? Why?[br]5) As you change the angle from 0 to 360 degrees, when is sine positive? Why?