Pertanyaan

4 cos 2 3 0 ∘ − 2 sin 2 3 0 ∘ − cos 2 3 0 ∘ + 2 sin 4 5 ∘ sin 4 5 ∘ = ...

$\frac{sin ^{2} 3 0 ^{\circ} - cos ^{2} 3 0 ^{\circ} + 2 sin 4 5 ^{\circ} sin 4 5 ^{\circ}}{4 cos ^{2} 3 0 ^{\circ} - 2} = ...$

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Nilai trigonometri pada kuadran I adalah positif. Jadi, jawaban yang tepat adalah C.

Nilai trigonometri pada kuadran I adalah positif.

$table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell fraction numerator sin squared 30 degree minus cos squared 30 degree plus 2 sin space 45 degree space sin 45 degree over denominator 4 cos squared 30 degree minus 2 end fraction end cell row blank equals cell fraction numerator open parentheses begin display style 1 half end style close parentheses squared minus open parentheses begin display style 1 half end style square root of 3 close parentheses squared plus 2 open parentheses begin display style 1 half end style square root of 2 close parentheses open parentheses 1 half square root of 2 close parentheses over denominator 4 open parentheses begin display style 1 half end style square root of 3 close parentheses squared minus 2 end fraction end cell row blank equals cell fraction numerator begin display style 1 fourth end style minus begin display style 3 over 4 end style plus 1 over denominator 4 open parentheses begin display style 3 over 4 end style close parentheses minus 2 end fraction end cell row blank equals cell fraction numerator begin display style bevelled 1 half end style over denominator 1 end fraction end cell row blank equals cell bevelled 1 half end cell end table$

Jadi, jawaban yang tepat adalah C.