Objectives:[br]1. determine the relationship of the angle measure to the lengths of the side of the triangle and the sine curve;[br]2. evaluate sine function at angles on the unit circle[br][br]Pre-requisite skill:[br]1. define trigonometric functions[br][br]Instruction:[br]1. Move the angle slider and investigate what happens to the triangle and the sine curve

1. As the value of [math]\alpha[/math] increases, what happens to the value of the hypotenuse? lengths of the legs of the triangle?[br]2. What can you say about the values of sin [math]\alpha[/math] if [math]\alpha[/math] measures 0[math]^\circ[/math] to 180[math]^\circ[/math]? 181[math]^\circ[/math] to 359[math]^\circ[/math]? How about 360[math]^\circ[/math]? What if the angle measure is negative?[br]3. What is the minimum and maximum values of sin [math]\alpha[/math]?[br]4. What is the relationship of the angle measure to the sine curve?[br]5. Do you think the values of sine functions will be the same if the radius is not equal to 1? Why or why not?[br]6. Why do you think the period sine curve is 2[math]\pi[/math]?[br]7. Why do we have the same y-coordinates for points C and E?[br][br][br][br]Prepared by:[br][br]NEDIE B. SEVILLA[br]ALVIC M. RAMIREZ[br]Buga NHS[br][br]Applet inspired by StudyForce.com https://www.youtube.com/watch?v=TBx2GLQB7Q0