This article provides trigonometry equation examples in LibreOffice Math. Below you can get the codes you can run in Math to show the equations. And you can download below the document files so you can study and change them. This article is a part of LibreOffice Math the series (Getting Started, Matrix, Integrals, Limits). I hope this article is helpful for teachers using LibreOffice at schools.

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How It Looks


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



Example 1


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Code:

sin 0 = 0
newline

sin 30^o = 1 over 2
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sin 45^o = {1 over 2} sqrt{ 2 }
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sin 60^o = { 1 over 2 } sqrt{ 3 }
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sin 90^o = 1
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Example 2


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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


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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


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Code:

Trigonometric functions:
 newline newline

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



Example 5


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Code:


 Invers functions:
 newline newline

 sin( arcsin x ) = x, for  lline x rline  <= 1
 newline newline
 arcsin( sin x ) = x, for lline x rline <= {%pi over 2}.



Example 6


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Code:

Pythagorean identity:
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 sin^2 %itheta + cos^2 %itheta = 1
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 sin %itheta = +-{ sqrt{1 - cos^2 %itheta} }
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 cos %itheta = +-{ sqrt{1 - sin^2 %itheta} }
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Example 7


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Code:


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


Example 8


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Code:

double angle formulae:
 newline newline

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



Example 9


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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)  ]
 newline newline



Example 10


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Code:


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

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

newline newline


Download Sample Documents


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



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