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Pertanyaan

Nilai dari sin 21 0 ∘ − cos 33 0 ∘ sin 12 0 ∘ + sin 15 0 ∘ ​ = ...

Nilai dari  ...

  1. negative 2 square root of 3

  2. negative 1

  3. 2 minus square root of 3

  4. 1

  5. 2 plus square root of 3

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S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

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Pembahasan

Ingatlah hubungan dari nilai perbandingan sudut-sudut berelasi pada setiap kuadran. Sehingga diperoleh: Kemudian operasi hitung sudut menjadi: Nilai dari . Jadi, jawaban yang tepat adalah B.

Ingatlah hubungan dari nilai perbandingan sudut-sudut berelasi pada setiap kuadran.

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space open parentheses 90 degree plus alpha close parentheses end cell equals cell cos space alpha end cell row cell sin space open parentheses 180 degree plus alpha close parentheses end cell equals cell negative sin space alpha end cell row cell cos space open parentheses 270 degree plus alpha close parentheses end cell equals cell sin space alpha end cell end table

Sehingga diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space open parentheses 90 degree plus alpha close parentheses end cell equals cell cos space alpha end cell row cell sin space 120 degree end cell equals cell sin space open parentheses 90 degree plus 30 degree close parentheses end cell row blank equals cell cos space 30 degree end cell row cell sin space 150 degree end cell equals cell sin space open parentheses 90 degree plus 60 degree close parentheses end cell row blank equals cell cos space 60 degree end cell row blank blank blank row cell sin space open parentheses 180 degree plus alpha close parentheses end cell equals cell negative sin space alpha end cell row cell sin space 210 degree end cell equals cell sin space open parentheses 180 degree plus 30 degree close parentheses end cell row blank equals cell negative sin space 30 degree end cell row blank blank blank row cell cos space open parentheses 270 degree plus alpha close parentheses end cell equals cell sin space alpha end cell row cell cos space 330 degree end cell equals cell cos space open parentheses 270 degree plus 60 degree close parentheses end cell row blank equals cell sin space 60 degree end cell end table

Kemudian operasi hitung sudut menjadi:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 120 degree plus sin space 150 degree over denominator sin space 210 degree minus cos space 330 degree end fraction end cell equals cell fraction numerator cos space 30 degree plus cos space 60 degree over denominator negative sin space 30 degree minus sin space 60 degree end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 3 plus begin display style 1 half end style over denominator negative begin display style 1 half end style minus begin display style 1 half end style square root of 3 end fraction end cell row blank equals cell fraction numerator fraction numerator square root of 3 plus 1 over denominator 2 end fraction over denominator begin display style fraction numerator negative 1 minus square root of 3 over denominator 2 end fraction end style end fraction end cell row blank equals cell fraction numerator square root of 3 plus 1 over denominator 2 end fraction times fraction numerator 2 over denominator negative 1 minus square root of 3 end fraction end cell row blank equals cell fraction numerator square root of 3 plus 1 over denominator negative 1 minus square root of 3 end fraction end cell row blank equals cell fraction numerator square root of 3 plus 1 over denominator negative open parentheses 1 plus square root of 3 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 1 end fraction end cell row blank equals cell negative 1 end cell end table

Nilai dari fraction numerator sin space 120 degree plus sin space 150 degree over denominator sin space 210 degree minus cos space 330 degree end fraction equals equals negative 1.

Jadi, jawaban yang tepat adalah B.

Latihan Bab

Konsep Kilat

Derajat dan Radian

Perbandingan Sisi (Trigonometri)

Sudut Istimewa (Trigonometri)

68

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