Pertanyaan

Nilai sec 3 0 ∘ co tan 4 5 ∘ sin 6 0 ∘ + cos 2 4 5 ∘ + tan 2 3 0 ∘ = ...

Nilai $\frac{sin 6 0 ^{\circ} + cos ^{2} 4 5 ^{\circ} + tan ^{2} 3 0 ^{\circ}}{sec 3 0 ^{\circ} co tan 4 5 ^{\circ}}$ = ...

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Habis dalam

Klaim

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai adalah

nilai $fraction numerator sin space 60 degree plus cos squared space 45 degree plus tan squared space 30 degree over denominator s e c space 30 degree c o tan space 45 degree end fraction$ adalah $fraction numerator 9 plus 5 square root of 3 over denominator 12 end fraction$

Pembahasan

Jadi, nilai adalah

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 60 degree plus cos squared space 45 degree plus tan squared space 30 degree over denominator s e c space 30 degree c o tan space 45 degree end fraction end cell equals cell fraction numerator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style plus open parentheses begin display style fraction numerator square root of 2 over denominator 2 end fraction end style close parentheses squared plus open parentheses begin display style fraction numerator 1 over denominator square root of 3 end fraction end style close parentheses squared over denominator begin display style fraction numerator 2 square root of 3 over denominator 3 end fraction end style cross times 1 end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator square root of 3 over denominator 2 end fraction plus 2 over 4 plus 1 third end style over denominator begin display style fraction numerator 2 square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator square root of 3 over denominator 2 end fraction plus 1 half plus 1 third end style over denominator begin display style fraction numerator 2 square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 3 square root of 3 plus 3 plus 2 over denominator 6 end fraction end style over denominator begin display style fraction numerator 2 square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 3 square root of 3 plus 5 over denominator 6 end fraction end style over denominator begin display style fraction numerator 2 square root of 3 over denominator 3 end fraction end style end fraction end cell row blank equals cell fraction numerator 3 square root of 3 plus 5 over denominator 6 end fraction cross times fraction numerator 3 over denominator 2 square root of 3 end fraction end cell row blank equals cell fraction numerator 3 square root of 3 plus 5 over denominator 2 end fraction cross times fraction numerator 1 over denominator 2 square root of 3 end fraction end cell row blank equals cell fraction numerator 3 square root of 3 plus 5 over denominator 4 square root of 3 end fraction end cell row blank equals cell fraction numerator 3 square root of 3 plus 5 over denominator 4 square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 9 plus 5 square root of 3 over denominator 12 end fraction end cell end table$

Jadi, nilai $fraction numerator sin space 60 degree plus cos squared space 45 degree plus tan squared space 30 degree over denominator s e c space 30 degree c o tan space 45 degree end fraction$ adalah $fraction numerator 9 plus 5 square root of 3 over denominator 12 end fraction$