L1 Trigonometry Review - Part 1
Completion requirements
Unit 4A
Trigonometry Part 1
Lesson 1: Trigonometry Review
Although the history of measuring angles in degrees is a bit cloudy, one theory suggests «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»360«/mn»«mo»§#176;«/mo»«/mrow»«/mstyle»«/math» is used to represent a full rotation because there are about «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»360«/mn»«/mstyle»«/math» days in a year. (Ancient calendars were not as accurate as today’s calendar, and «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»360«/mn»«/mstyle»«/math» is a much easier number to work with than «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»365«/mn»«mo».«/mo»«mn»24«/mn»«mo»§#8230;«/mo»«/mrow»«/mstyle»«/math».) Based on this theory, the constellations would rotate about «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»1«/mn»«mo»§#176;«/mo»«/mrow»«/mstyle»«/math» every day.
Using degrees to measure angles is probably comfortable because it is familiar, but in calculus, another unit is used to measure angles: the radian. The radian is a unit derived from measurements based on a circle. And, the use of radians leads to more elegant expressions common in calculus and other advanced math.
Using degrees to measure angles is probably comfortable because it is familiar, but in calculus, another unit is used to measure angles: the radian. The radian is a unit derived from measurements based on a circle. And, the use of radians leads to more elegant expressions common in calculus and other advanced math.
