Trigonometry in Right-Angle Triangles

Example 1. For the following triangle, express a in terms of b and a .

Answer. b is the hypotenuse and a is opposite to angle a. Thus,

Example 2. For the following triangle, express a in terms of b and a .

Answer. a is the hypotenuse and b is adjacent to angle a. Thus,

Example 3. For the following triangle, express a in terms of b and a .

Answer. c is the hypotenuse. a is the adjacent and b is the opposite to angle a. Thus,