Explore the applet. Then answer the questions below.
[b]Task 1[/b][br][br]Set the angle measure to 32 degrees. What is the ratio of the opposite side to the hypotenuse?
Move the vertex at the right angle. Does the ratio of the opposite side to the hypotenuse change?
Change the angle measure to 35 degrees. Does the ratio of the opposite side to the hypotenuse change?
[b]Task 2[/b][br][br]Set the angle measure to 32 degrees. What is the ratio of the adjacent side to the hypotenuse?
Move the vertex at the right angle. Does the ratio of the adjacent side to the hypotenuse change?
Change the angle measure to 35 degrees. Does the ratio of the adjacent side to the hypotenuse change?
[b]Task 3[/b][br][br]Set the angle measure to 32 degrees. What is the ratio of the opposite side to the adjacent side?
Move the vertex at the right angle. Does the ratio of the opposite side to the adjacent side change?
Change the angle measure to 35 degrees. Does the ratio of the opposite side to the adjacent side change?
[b]Task 4[/b][br][br]Hopefully you noticed that the ratios above did not change when the side lengths changed as long as the angle remained the same. These special ratios are called trigonometric ratios. [br][br]A trigonometric ratio is a ratio of the lengths of two sides of a right triangle.[br][br]The three trig ratios we will learn about are sine, cosine, and tangent. [br][br]The first ratio you explored represents sine, the second ratio represents cosine, and the third ratio represents tangent.
Sine of an angle is which ratio?
Cosine of an angle is which ratio?
Tangent of an angle is which ratio?