Listed below are the topics and exercises to review for the 4th midterm exam on Wednesday Dec 13.
Note that the MAT1275 Final Exam Review sheet is available as a pdf in Files, and is also available in the Final Exam Review post.
- Law of Sines & Law of Cosines:
- Final Exam Review: #7
- WebWork: “Law of Sines” (Problems 3-6)
- WebWork: “Law of Cosines” (Problems 1-3)
- Patrick JMT videos: http://patrickjmt.com/the-law-of-sines-example-1/, http://patrickjmt.com/the-law-of-sines-example-2/, http://patrickjmt.com/law-of-cosines-example-5/
- Proving Trig Identities:
- “Trigonometric Identities Worksheet” (handed out in class on Fri Dec 8, pdf available in Files; the exercises on the last 2 pages are due Wednesday)
- Final Exam Review: #10
- Trig textbook, Sec 1.4: Examples 2-4 (pp32-33)
- Trig textbook, Sec 5.1: Examples 1 & 2 (pp212-213)
- PatrickJMT videos: http://patrickjmt.com/proving-an-identity-example-1/ & http://patrickjmt.com/proving-an-identity-example-2/
- Solving Trig Equations (using the unit circle)
- Final Exam Review #11
- Quiz #8: question #2
- WebWork: “SolvingTrigEquations” (Problems 1-7)
- PatrickJMT video: http://patrickjmt.com/solving-trigonometric-equations/
- Trigonometry in the coordinate plane (i.e., finding the values of the trig functions based on the value of one trig function and information about the sign of one other trig function):
- Final Exam Review: #8
- Exam #3, question #5
- WebWork: “CoordinatePlaneTrig” (Problems 1-5)
- Trigonometry textbook: Section 1.3, pages 22-27
- PatrickJMT video: http://patrickjmt.com/finding-trigonometric-values-given-one-trigonometric-valueother-info-example-2/
This exam will also include one algebra topic from earlier in the semester:
- Solving systems involving nonlinear equations
- Final Exam Review: #7
- Exam #2: question #5
- Algebra textbook, Sec 9.4: Example 1(b) (p777), Example 4 (p779)
