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Tanpa menggunakan kalkulator atau tabel trigonometri, hitunglah: 8 sin 7 0 ∘ ⋅ sin 5 0 ∘ ⋅ sin 1 0 ∘

Tanpa menggunakan kalkulator atau tabel trigonometri, hitunglah:

 

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S. Nur

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nilai .

nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank 8 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 70 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 50 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table.

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Ingat kembali: Maka: Jadi, nilai .

Ingat kembali:

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 space sin space straight alpha space sin space straight beta end cell equals cell negative cos space open parentheses straight alpha plus straight beta close parentheses plus cos space open parentheses straight alpha minus straight beta close parentheses end cell row cell 2 space sin space straight alpha space cos space straight beta end cell equals cell sin space open parentheses straight alpha plus straight beta close parentheses plus sin space open parentheses straight alpha minus straight beta close parentheses end cell row cell sin space open parentheses 180 degree minus straight A close parentheses end cell equals cell sin space straight A end cell end table 

Maka:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell 8 space sin space 70 degree times sin space 50 degree times sin space 10 degree end cell equals cell 4 times 2 times sin space 70 degree times sin space 50 degree times sin space 10 degree end cell row blank equals cell open parentheses 4 times sin space 70 degree close parentheses times open parentheses 2 times sin space 50 degree times sin space 10 degree close parentheses end cell row blank equals cell open parentheses 4 times sin space 70 degree close parentheses times open parentheses negative cos space open parentheses 50 degree plus 10 degree close parentheses plus cos space open parentheses 50 degree minus 10 degree close parentheses close parentheses end cell row blank equals cell open parentheses 4 times sin space 70 degree close parentheses times open parentheses negative cos space 60 degree plus cos space 40 degree close parentheses end cell row blank equals cell open parentheses 4 times sin space 70 degree close parentheses times open parentheses negative 1 half plus cos space 40 degree close parentheses end cell row blank equals cell negative 2 space sin space 70 degree plus 4 times sin space 70 degree times cos space 40 degree end cell row blank equals cell negative 2 space sin space 70 degree plus 2 times open parentheses 2 times sin space 70 degree times cos space 40 degree close parentheses end cell row blank equals cell negative 2 space sin space 70 degree plus 2 times open parentheses sin space open parentheses 70 degree plus 40 degree close parentheses plus sin space open parentheses 70 degree minus 40 degree close parentheses close parentheses end cell row blank equals cell negative 2 space sin space 70 degree plus 2 times open parentheses sin space 110 degree plus sin space 30 degree close parentheses end cell row blank equals cell negative 2 space sin space 70 degree plus 2 times open parentheses sin space 110 degree plus 1 half close parentheses end cell row blank equals cell negative 2 space sin space 70 degree plus 2 space sin space 110 degree plus 1 end cell row blank equals cell negative 2 space sin space 70 degree plus 2 space sin space open parentheses 180 degree minus 70 degree close parentheses plus 1 end cell row blank equals cell up diagonal strike negative 2 space sin space 70 degree end strike up diagonal strike plus 2 space sin space 70 degree end strike plus 1 end cell row blank equals 1 end table end style 

Jadi, nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank 8 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 70 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 50 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table.

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