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Nilai dari cos 13 5 ∘ cos 10 5 ∘ sin 4 5 ∘ sin 1 5 ∘ ​ = ....

Nilai dari  

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S. Nur

Master Teacher

Jawaban terverifikasi

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Pembahasan

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Dengan menggunakan perbandingan trigonometri sudut berelasi. Sudut berelasi kuadran I dan sudut berelasi kuadran II sehingga didapat Jadi, nilai dari

Dengan menggunakan perbandingan trigonometri sudut berelasi. 

Sudut berelasi kuadran I 

sin space left parenthesis 90 degree minus alpha degree right parenthesis equals cos space alpha degree

dan sudut berelasi kuadran II

cos space left parenthesis 180 degree minus alpha degree right parenthesis space equals negative cos space alpha degree

sehingga didapat 

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 45 degree space sin space 15 degree over denominator cos space 135 degree space cos space 105 degree end fraction end cell row blank equals cell fraction numerator sin space 45 degree space sin space open parentheses 90 degree minus 75 degree close parentheses over denominator cos space open parentheses 180 degree minus 45 degree close parentheses space cos space open parentheses 180 degree minus 75 degree close parentheses end fraction end cell row blank equals cell fraction numerator sin space 45 degree space cos space 75 degree over denominator open parentheses negative cos space 45 degree close parentheses open parentheses negative cos space 75 degree close parentheses end fraction end cell row blank equals cell fraction numerator sin space 45 degree over denominator negative cos space 45 degree end fraction times fraction numerator space cos space 75 degree over denominator negative cos space 75 degree end fraction end cell row blank equals cell fraction numerator sin space 45 degree over denominator negative cos space 45 degree end fraction times negative 1 end cell row blank equals cell fraction numerator begin display style fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction square root of 2 end style over denominator negative 1 half square root of 2 end fraction times negative 1 end cell row blank equals cell negative 1 times open parentheses negative 1 close parentheses end cell row blank equals 1 end table 

Jadi, nilai dari fraction numerator sin space 45 degree space sin space 15 degree over denominator cos space 135 degree space cos space 105 degree end fraction equals 1  

 

1rb+

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Nilai dari cos 12 0 ∘ + cos 4 5 ∘ + cos 13 5 ∘ − sin 3 0 ∘ = ...

222

0.0

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