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Pertanyaan

Hitunglah sin ∠ A , cos ∠ A , tan ∠ A , sec ∠ A , cos ec ∠ A , dan co t ∠ A berdasarkan segitiga ABC berikut.

Hitunglah  berdasarkan segitiga  berikut.

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N. Sari

Master Teacher

Mahasiswa/Alumni Universitas Nasional

Jawaban terverifikasi

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Pembahasan

Diketahui : Depan sudut = Sisi miring = Samping sudut = Nilai Nilai Nilai Nilai Nilai Nilai

Diketahui :
Depan sudut = B C equals 5 space cm
Sisi miring = AC equals 17 space cm
Samping sudut = 

table attributes columnalign right center left columnspacing 0px end attributes row AB equals cell square root of AC squared minus sign B C squared end root end cell row blank equals cell square root of 17 squared minus sign 5 squared end root end cell row blank equals cell square root of 289 minus sign 25 end root end cell row blank equals cell square root of 264 end cell row blank equals cell 2 square root of 66 end cell end table

Nilai sin angle A

table attributes columnalign right center left columnspacing 0px end attributes row cell sin angle A end cell equals cell fraction numerator B C over denominator A C end fraction end cell row blank equals cell 5 over 17 end cell end table

Nilai cos angle A

table attributes columnalign right center left columnspacing 0px end attributes row cell cos angle A end cell equals cell fraction numerator A B over denominator A C end fraction end cell row blank equals cell fraction numerator 2 square root of 66 over denominator 17 end fraction end cell end table

Nilai tan angle A

table attributes columnalign right center left columnspacing 0px end attributes row cell tan angle A end cell equals cell fraction numerator B C over denominator A B end fraction end cell row blank equals cell fraction numerator 5 over denominator 2 square root of 66 end fraction cross times fraction numerator square root of 66 over denominator square root of 66 end fraction end cell row blank equals cell fraction numerator 5 square root of 66 over denominator 264 end fraction end cell end table

Nilai s e c angle A

table attributes columnalign right center left columnspacing 0px end attributes row cell s e c angle A end cell equals cell fraction numerator 1 over denominator cos angle A end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator 2 square root of 66 over denominator 17 end fraction end style end fraction end cell row blank equals cell fraction numerator 17 over denominator 2 square root of 66 end fraction cross times fraction numerator square root of 66 over denominator square root of 66 end fraction end cell row blank equals cell fraction numerator 17 square root of 66 over denominator 264 end fraction end cell end table

Nilai cos e c angle A

table attributes columnalign right center left columnspacing 0px end attributes row cell cos e c angle A end cell equals cell fraction numerator 1 over denominator sin angle A end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style 5 over 17 end style end fraction end cell row blank equals cell 17 over 5 end cell end table

Nilai italic c italic o italic t angle italic A

table attributes columnalign right center left columnspacing 0px end attributes row cell italic c italic o italic t angle italic A end cell equals cell fraction numerator 1 over denominator italic t italic a italic n angle italic A end fraction end cell row blank equals cell fraction numerator 1 over denominator fraction numerator 5 over denominator 2 square root of 66 end fraction end fraction end cell row blank equals cell fraction numerator 2 square root of 66 over denominator 5 end fraction end cell end table

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