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Pertanyaan

Nilai dari 3 ​ sin 8 0 ∘ sin 16 0 ∘ sin 32 0 ∘ adalah ....

Nilai dari  adalah ....

  1. negative 3 over 8 

  2. negative 1 over 8 

  3. 1 over 8 

  4. 3 over 8 

  5. 5 over 8 

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S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

jawaban yang benar adalah  A.

Pembahasan

Ingat kembali: Maka: Jadi, jawaban yang benar adalah A.

Ingat kembali:

table attributes columnalign right center left columnspacing 0px end attributes row cell negative 2 times sin space straight A times sin space straight B end cell equals cell cos space open parentheses straight A plus straight B close parentheses minus cos space open parentheses straight A minus straight B close parentheses end cell row cell 2 times cos space straight A times sin space straight B end cell equals cell sin space open parentheses straight A plus straight B close parentheses minus sin space open parentheses straight A minus straight B 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 row cell sin space open parentheses 360 degree minus straight A close parentheses end cell equals cell negative 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 square root of 3 space sin space 80 degree space sin space 160 degree space sin space 320 degree end cell equals cell square root of 3 times sin space 80 degree times sin space 160 degree times sin space 320 degree end cell row blank equals cell square root of 3 times sin space 80 degree times sin space open parentheses 180 degree minus 20 degree close parentheses times sin space open parentheses 360 degree minus 40 degree close parentheses end cell row blank equals cell square root of 3 times sin space 80 degree times sin space 20 degree times negative sin space 40 degree end cell row blank equals cell negative square root of 3 times sin space 80 degree times sin space 40 degree times sin space 20 degree end cell row blank equals cell negative square root of 3 times negative 1 half times negative 2 times sin space 80 degree times sin space 40 degree times sin space 20 degree end cell row blank equals cell negative square root of 3 times negative 1 half times open parentheses negative 2 times sin space 80 degree times sin space 40 degree close parentheses times sin space 20 degree end cell row blank equals cell 1 half square root of 3 times open square brackets cos space open parentheses 80 degree plus 40 degree close parentheses minus cos space open parentheses 80 degree minus 40 degree close parentheses close square brackets times sin space 20 degree end cell row blank equals cell 1 half square root of 3 times open parentheses cos space 120 degree minus cos space 40 degree close parentheses times sin space 20 degree end cell row blank equals cell 1 half square root of 3 times open parentheses negative 1 half minus cos space 40 degree close parentheses times sin space 20 degree end cell row blank equals cell negative 1 fourth square root of 3 space sin space 20 degree minus 1 half square root of 3 times cos space 40 degree times sin space 20 degree end cell row blank equals cell negative 1 fourth square root of 3 space sin space 20 degree minus 1 half square root of 3 times 1 half times 2 times cos space 40 degree times sin space 20 degree times end cell row blank equals cell negative 1 fourth square root of 3 space sin space 20 degree minus 1 half square root of 3 times 1 half times open parentheses 2 times cos space 40 degree times sin space 20 degree close parentheses end cell row blank equals cell negative 1 fourth square root of 3 space sin space 20 degree minus 1 fourth square root of 3 times open parentheses 2 times cos space 40 degree times sin space 20 degree close parentheses end cell row blank equals cell negative 1 fourth square root of 3 space sin space 20 degree minus 1 fourth square root of 3 times open square brackets sin space open parentheses 40 degree plus 20 degree close parentheses minus sin space open parentheses 40 degree minus 20 degree close parentheses close square brackets end cell row blank equals cell negative 1 fourth square root of 3 space sin space 20 degree minus 1 fourth square root of 3 times open square brackets sin space 60 degree minus sin space 20 degree close square brackets end cell row blank equals cell negative 1 fourth square root of 3 space sin space 20 degree minus 1 fourth square root of 3 times open square brackets 1 half square root of 3 minus sin space 20 degree close square brackets end cell row blank equals cell up diagonal strike negative 1 fourth square root of 3 space sin space 20 degree end strike minus 3 over 8 plus up diagonal strike 1 fourth square root of 3 space sin space 20 degree end strike end cell row blank equals cell negative 3 over 8 end cell end table end style 

Jadi, jawaban yang benar adalah  A.

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