Day 2: Students will define sine, cosine, and tangent functions using similar triangles. For sine, you use the angle of a corner of the triangle, the opposite side of a triangle, and the hypotenuse of the triangle. For cosine, you use the angle of a corner of the triangle, the adjacent side of the triangle, and the hypotenuse of the triangle. For tangent, you use the angle of a corner of the triangle, the adjacent side of the triangle, and the opposite side of the triangle.

Quiz:

1. What is the length of the hypotenuse of a right triangle if the angle is 50 degrees and the opposite side is 10?

2. What is the length of the adjacent side of a triangle if the angle is 60 degrees and the hypotenuse is 10?

3. What is the length of the opposite side of a triangle if the angle is 40 degrees and the adjacent side is 5?

Answer Key:

1.

The length of the hypotenuse is 13.05 units.

2. 

The length of the adjacent side is 5 units.

3. 

The length of the opposite side is 4.19 units.