What do Sin, Cosine, and Tangent equal?

Follow the steps and answer the questions on a separate sheet of paper.[br][br]Hint #1: Check and uncheck boxes depending on which trigonometric function you are thinking about. [br][br]Hint #2: In steps 7-11, you may need to check the Tip #1 and Tip #2 boxes.[br][br]Step 1: Notice the right triangle within the quarter circle. What are the sides of a right triangle called?[br][br]Step 2: Move D along quarter circle. What happens to the hypotenuse? What happens to the legs of the triangle?[br][br]Step 3: Move D along quarter circle. What happens to α? What happens to sinα? cos α? tan α? Do you notice anything about the numerators and denominators or the sin, cos, and tan?[br][br]Step 4: Make a conjecture about what the sin α, cos α, and tan α are in relation to the triangle.[br][br]Step 5: Move point B to make quarter circle bigger or smaller? Test your conjecture from step 4 by moving D along new quarter circle. Does your conjecture seem to be true? If not make another conjecture and test that one.[br][br]Step 6: Compare your conjectures with a classmate.[br][br]Step 7: Move point B so that the radius of the quarter circle is 1 again. Move D along quarter circle so that α = 45°. What do you notice about sin α, cos α, and tan α when α = 45°. [br][br]Step 8: Move D along quarter circle so that α = 30°. What do you notice about sin α, cos α, and tan α when α = 30°. [br][br]Step 9: Move D along quarter circle so that α = 60°. What do you notice about sin α, cos α, and tan α when α = 60°. [br][br]Step 10: What conjectures can you make about the sin 45°, cos 45°, tan 45°? What conjectures can you make about the sin 30°, cos 30°, tan 30°? What conjectures can you make about the sin 60°, cos 60°, tan 60°?[br][br]Step 11: Are these conjectures always true? Test them by changing the radius of the quarter circle by moving point B.