Pertanyaan

Nilai dari sin 3 0 ∘ + cos 33 0 ∘ + sin 15 0 ∘ tan 4 5 ∘ + cos 21 0 ∘ = ...

Nilai dari $\frac{tan 4 5 ^{\circ} + cos 21 0 ^{\circ}}{sin 3 0 ^{\circ} + cos 33 0 ^{\circ} + sin 15 0 ^{\circ}} = ...$

$fraction numerator 1 minus square root of 3 over denominator 1 plus square root of 3 end fraction$
$fraction numerator 1 plus square root of 3 over denominator 1 minus square root of 3 end fraction$
$fraction numerator 2 plus square root of 3 over denominator 2 minus square root of 3 end fraction$
$fraction numerator 2 minus square root of 3 over denominator 2 plus square root of 3 end fraction$
$fraction numerator 1 plus 2 square root of 3 over denominator 1 minus 2 square root of 3 end fraction$

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Ingat kembali konsep dasar: Nilai trigonometri: Sehingga diperoleh perhitungan: Dengan mikian, nilai operasi tersebut adalah Jadi, jawaban yang tepat adalah D

Ingat kembali konsep dasar:

Nilai trigonometri:

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 30 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 45 degree end cell equals 1 end table

Sehingga diperoleh perhitungan:

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator tan space 45 degree plus cos space 210 degree over denominator sin space 30 degree plus cos space 330 degree plus sin space 150 degree end fraction end cell row blank equals cell fraction numerator 1 plus cos space open parentheses 180 plus 30 close parentheses over denominator begin display style 1 half end style plus cos space open parentheses 360 minus 30 close parentheses plus sin space open parentheses 180 minus 30 close parentheses end fraction end cell row blank equals cell fraction numerator 1 minus cos space 30 over denominator begin display style 1 half end style plus cos space 30 plus sin space 30 end fraction end cell row blank equals cell fraction numerator 1 minus cos space 30 over denominator begin display style 1 half end style plus cos space 30 plus sin space 30 end fraction end cell row blank equals cell fraction numerator 1 minus begin display style fraction numerator square root of 3 over denominator 2 end fraction end style over denominator begin display style 1 half end style plus begin display style fraction numerator square root of 3 over denominator 2 end fraction end style plus begin display style 1 half end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 2 minus square root of 3 over denominator up diagonal strike 2 end fraction end style over denominator begin display style fraction numerator 2 plus square root of 3 over denominator up diagonal strike 2 end fraction end style end fraction end cell row blank equals cell fraction numerator 2 minus square root of 3 over denominator 2 plus square root of 3 end fraction end cell end table$

Dengan mikian, nilai operasi tersebut adalah $fraction numerator 2 minus square root of 3 over denominator 2 plus square root of 3 end fraction$

Jadi, jawaban yang tepat adalah D