At the end of Chapter 9, you should have mastered the following skills and be ready to test:
Verify trigonometric identities, as in problems 8-99, 8-116, 8-123, 8-152, 9-9, 9-63, 9-106, and CL 9-140.
Apply the angle sum and difference identities, as in problems 8-114, 8-122, 8-138, 8-151, 9-39, 9-90, and CL 9-141.
Apply the double-angle and half-angle identities, as in problems 8-137, 8-151, 9-57, 9-119, and CL 9-141.
Solve complex trigonometric equations, as in problems 8-150, 9-32, 9-82, 9-131, and CL 9-142.
Complete basic operations with matrices of appropriate dimensions, as in problems 9-8, 9-27, 9-28, 9-35, 9-54, 9-62, and CL 9-136.
Compute determinants and inverses of 2Ă—2 matrices by hand, recognizing when a matrix is not invertible, as in problems 9-53, 9-88, 9-118, and CL 9-136 (b).
Interpret the absolute value of the determinant in terms of area (of a triangle or parallelogram), as in problems 9-61, 9-79, 9-105, 9-130, and CL 9-138.
Represent and solve a system of linear equations as a single matrix equation, as in problems 9-78, 9-104, 9-129, and CL 9-137.