Pertanyaan

Nilai dari: tan 3 0 ∘ ⋅ tan 6 0 ∘ cos 2 3 0 ∘ + sin 2 6 0 ∘ + sin 2 4 5 ∘ ⋅ cos 2 4 5 ∘ adalah...

Nilai dari:

$\frac{cos ^{2} 3 0 ^{\circ} + sin ^{2} 6 0 ^{\circ} + sin ^{2} 4 5 ^{\circ} \cdot cos ^{2} 4 5 ^{\circ}}{tan 3 0 ^{\circ} \cdot tan 6 0 ^{\circ}}$ adalah...

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Jadi, jawaban yang benar adalah E.

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator cos squared space 30 degree plus sin squared space 60 degree plus sin squared space 45 degree times cos squared space 45 degree over denominator tan space 30 degree times tan space 60 degree end fraction end cell row blank equals cell fraction numerator left parenthesis begin display style 1 half end style square root of 3 right parenthesis squared plus left parenthesis fraction numerator 1 over denominator 2 end fraction square root of 3 end root right parenthesis to the power of 2 end exponent plus left parenthesis 1 half square root of 2 right parenthesis squared times left parenthesis 1 half square root of 2 right parenthesis squared over denominator begin display style 1 third end style square root of 3 times square root of 3 end fraction end cell row blank equals cell fraction numerator begin display style 3 over 4 end style plus begin display style 3 over 4 end style plus begin display style 1 half end style times begin display style 1 half end style over denominator begin display style 1 third end style times 3 end fraction end cell row blank equals cell fraction numerator begin display style 6 over 4 end style plus begin display style 1 fourth end style over denominator 1 end fraction end cell row blank equals cell 7 over 4 end cell end table$

Jadi, jawaban yang benar adalah E.