LibreOffice Math: Trigonometry Equation Examples

| |
[ 所属分类 系统（linux） | 发布者 店小二05 | 时间 2017 | 作者 红领巾 ] 0人收藏点击收藏

Subscribe to UbuntuBuzz Telegram Channel https://telegram.me/ubuntubuzz to get article updates directly.

How It Looks

Here you can see the code applied in both LibreOffice Math and Writer.

Example 1

Picture:

Code:

sin 0 = 0

newline

sin 30^o = 1 over 2

newline

sin 45^o = {1 over 2} sqrt{ 2 }

newline

sin 60^o = { 1 over 2 } sqrt{ 3 }

newline

sin 90^o = 1

Example 2

Picture:

Code:

matrix {

cos 0^o #{}={}# 0 ##

cos 30^o #{}={}# {1 over 2} sqrt{3} ##

cos 45^o #{}={}# {1 over 2} sqrt{2} ##

cos 60^o #{}={}# {1 over 2} ##

cos 90^o #{}={}# 0

Example 3

Picture:

Code:

matrix{

%itheta # 0 # 30^o # 45^o # 60^o # 90^o ##

{} # {}# {} # {} # {} # {} ##

sin # 0 # {1 over 2} # {1 over 2} sqrt{2} # {1 over 2} sqrt{3} # 1 ##

cos # 1 # {1 over 2} sqrt{3} # {1 over 2} sqrt{2} # 1 over 2 # 0 ##

tan # 0 # {1 over 3} sqrt{3} # 1 # sqrt{3} # U

Example 4

Picture:

Code:

Trigonometric functions:

newline newline

tan %itheta = { {sin %itheta} over {cos %itheta} }

newline newline

sec %itheta = 1 over { cos %itheta }

newline newline

csc %itheta = 1 over { sin %itheta }

newline newline

cot %itheta = 1 over { tan %itheta } = { cos %itheta } over { sin %itheta }

Example 5

Picture:

Code:

Invers functions:

newline newline

sin( arcsin x ) = x, for lline x rline <= 1

newline newline

Example 6

Picture:

Code:

Pythagorean identity:

newline newline

sin^2 %itheta + cos^2 %itheta = 1

newline

sin %itheta = +-{ sqrt{1 - cos^2 %itheta} }

newline

cos %itheta = +-{ sqrt{1 - sin^2 %itheta} }

Example 7

Picture:

Code:

sin( %alpha +- %beta ) = sin %alpha cos %beta +- cos %alpha sin %beta

newline newline

cos( %alpha +- %beta ) = cos %alpha cos %beta -+ sin %alpha sin %beta

newline newline

tan( %alpha +- %beta ) = { tan %alpha +- tan %beta } over { 1 -+ tan %alpha tan %beta }

newline newline

Example 8

Picture:

Code:

double angle formulae:

newline newline

sin( 2 %itheta ) = 2 sin %itheta cos %itheta

newline newline

cos( 2 %itheta ) = cos^2 %itheta - sin^2 %itheta = 2 cos^2 %itheta - 1 = 1 - 2 sin^2 %itheta = { 1 - tan^2 %itheta } over { 1 + tan^2 %itheta }

newline newline

tan( 2 %itheta ) = { 2 tan %itheta } over { 1 - tan^2 %itheta }

Example 9

Picture:

Code:

sin %alpha sin %beta = 1 over 2 [ cos(%alpha - %beta) - cos(%alpha + %beta) ]

newline newline

cos %alpha cos %beta = 1 over 2 [ cos(%alpha - %beta) + cos(%alpha + %beta) ] Example 10

Picture:

Code:

sin %alpha + sin %beta = 2 sin ( {%alpha + %beta} over 2 ) cos ( {%alpha - %beta} over 2 )

newline newline

newline newline

Here I provide the LibreOffice Math & Writer document files so you can view and edit all trigonometry equations as you wish. I licensed them under CC BY-SA.

LibreOffice Math (.odf)

LibreOffice Writer (.odt)

References

1.凡CodeSecTeam转载的文章,均出自其它媒体或其他官网介绍,目的在于传递更多的信息,并不代表本站赞同其观点和其真实性负责；
2.转载的文章仅代表原创作者观点,与本站无关。其原创性以及文中陈述文字和内容未经本站证实,本站对该文以及其中全部或者部分内容、文字的真实性、完整性、及时性，不作出任何保证或承若；
3.如本站转载稿涉及版权等问题,请作者及时联系本站,我们会及时处理。