Right Triangle Trigonometry and Reciprocal Functions - Lecture and Problem Set

Learn right triangle trigonometry through a comprehensive lecture and problem-solving session that builds upon basic sine, cosine, and tangent concepts to introduce reciprocal trigonometric functions (cosecant, secant, and cotangent). Master SOHCAHTOA principles and discover how to work with special right triangles (45-45-90 and 30-60-90), solve for unknown triangle measurements, and tackle real-world applications involving angles of elevation and depression. Practice with over 50 problems ranging from simplified fraction ratios to complex word problems, with emphasis on proper calculator usage in degree mode and complete triangle solutions. Access supplementary materials including textbook PDFs and visual references for practical applications like the Katoomba Scenic Railway and Jin Mao Tower throughout this nearly 3-hour mathematical exploration.

Syllabus

0:00:00 Introduction
0:01:16 Lecture overview
0:22:40 Problem #1-4
0:26:00 Problem #5-10
0:42:18 Problem #11
0:44:34 Problem #12
0:48:57 Problem #13-18
1:03:43 Problem #19-20
1:07:09 Problem #21-26
1:14:19 Problem #27-32
1:18:42 Problem #33-40
1:43:41 Problem #41-45
1:59:44 Problem #46
2:02:53 Problem #47
2:09:33 Problem #48
2:11:08 Problem #49
2:17:27 Problem #50
2:22:48 Problem #51
2:24:23 Problem #52
2:35:05 Problem #53