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Angles and Radian Measure in Trigonometry - Lecture and Problem Set

Mr. Robinson's Virtual Math Classroom via YouTube

Overview

Learn about angles and radian measure in this comprehensive mathematics lecture and problem-solving session. Explore how trigonometry extends beyond right triangles to unit circles and periodic functions, with detailed explanations of angle measurement in both degrees and radians. Master concepts like standard position angles, positive (counter-clockwise) and negative (clockwise) rotations, coterminal angles, and the relationship between radians and degrees where 2π radians equals 360°. Discover how to calculate arc lengths and areas of sectors using proportionality and circle properties. Follow along with a structured problem set featuring 47 practice problems, each timestamped for easy reference, to reinforce understanding of these fundamental trigonometric concepts.

Syllabus

0:00:00 Introduction
0:01:48 Lecture overview
0:23:01 Problem #1-4
0:26:57 Problem #5-8
0:30:31 Problem #9-12
0:34:05 Problem #13-20
0:42:05 Problem #21
0:44:17 Problem #22
0:47:02 Problem #23-26
0:51:13 Problem #27-28
0:59:18 Problem #29-30
1:03:55 Problem #31-32
1:09:59 Problem #33-38
1:15:08 Problem #39-40
1:23:59 Problem #41
1:25:52 Problem #42
1:28:36 Problem #43
1:34:46 Problem #44
1:41:55 Problem #45
1:43:51 Problem #46
1:48:03 Problem #47

Taught by

Mr. Robinson's Virtual Math Classroom

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