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Tentukan nilai dari: 2 cos 3 0 ∘ tan 6 0 ∘ sin 2 6 0 ∘ − cos 2 6 0 ∘ ​

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L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

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 fraction numerator sin squared space 60 degree minus cos squared space 60 degree over denominator 2 space cos space 30 degree space tan space 60 degree end fraction equals 1 over 6

Pembahasan

Berdasarkan tebel trigonometri sudut istimewa diperoleh Maka Jadi, .

Berdasarkan tebel trigonometri sudut istimewa diperoleh 

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 60 degree end cell equals cell 1 half square root of 3 end cell row cell cos space 60 degree end cell equals cell 1 half end cell row cell cos space 30 degree end cell equals cell 1 half square root of 3 end cell row cell tan space 60 degree end cell equals cell square root of 3 end cell end table 

Maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin squared space 60 degree minus cos squared space 60 degree over denominator 2 space cos space 30 degree space tan space 60 degree end fraction end cell equals cell fraction numerator open parentheses begin display style 1 half end style square root of 3 close parentheses squared minus open parentheses begin display style 1 half end style close parentheses squared over denominator 2 times open parentheses begin display style 1 half end style square root of 3 close parentheses times open parentheses square root of 3 close parentheses end fraction end cell row blank equals cell fraction numerator begin display style 3 over 4 end style minus begin display style 1 fourth end style over denominator 3 end fraction end cell row blank equals cell fraction numerator begin display style 2 over 4 end style over denominator 3 end fraction end cell row blank equals cell 1 over 6 end cell end table 

Jadi, fraction numerator sin squared space 60 degree minus cos squared space 60 degree over denominator 2 space cos space 30 degree space tan space 60 degree end fraction equals 1 over 6

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