I found the exact value of sin 1 degree (from sin 3 degrees) | Inspired by
Автор: Mathusiasm
Загружено: 2023-05-20
Просмотров: 1984
This video shows how to express sin 1° in terms of square root, cube root and complex numbers. Mathematicians have always been curious to figure out the exact values of trigonometric ratios. Apart from the well-known angles, it seems that very little effort is made on sin 1°, which is extremely fundamental as all other angles are based on 1 degree!
Equipped with 2 powerful tools from @blackpenredpen , this channel managed to develop new insights into sin 1° and completed the ultimate goal of exact value! Please sit back and enjoy!
@blackpenredpen videos:
• exact value of sin(3 degrees)
• exact value of sin(10 degrees)
Chapters:
00:00 A peek of the exact value
00:15 Thanks to @blackpenredpen !
00:36 An Overview
01:09 Why sin 1°?
03:07 Preparation
04:28 Simplify sin 3°
09:16 Value of cos 3°
09:50 Which of 3 roots is sin 1°?
11:14 Bingo!
Check out other interesting Math videos in the following playlists:
Algebra: • Algebra
Geometry: • Geometry
Trigonometry: • Trigonometry
Calculus: • Calculus
Number Theory: • Number Theory
30-day CHALLENGE of Integration by Parts: • 30-day CHALLENGE of Integration by Parts
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