Pertanyaan

Hitung nilai dari ( sin 3 0 ∘ ) 2 + ( cos 3 0 ∘ ) 2 2 ( cos 6 0 ∘ ) 2 + 4 ( sec 3 0 ∘ ) − tan 4 5 ∘

Hitung nilai dari $\frac{2 ( cos 6 0 ^{\circ} ) ^{2} + 4 ( sec 3 0 ^{\circ} ) - tan 4 5 ^{\circ}}{( sin 3 0 ^{\circ} ) ^{2} + ( cos 3 0 ^{\circ} ) ^{2}}$

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

nilai dari adalah

nilai dari $fraction numerator 2 open parentheses cos space 60 degree close parentheses squared plus 4 open parentheses sec space 30 degree close parentheses minus tan space 45 degree over denominator open parentheses sin space 30 degree close parentheses squared plus open parentheses cos space 30 degree close parentheses squared end fraction$ adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 8 over 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 half end cell end table

Pembahasan

Jadi, nilai dari adalah

$table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell fraction numerator 2 open parentheses cos space 60 degree close parentheses squared plus 4 open parentheses sec space 30 degree close parentheses minus tan space 45 degree over denominator open parentheses sin space 30 degree close parentheses squared plus open parentheses cos space 30 degree close parentheses squared end fraction end cell row blank equals cell fraction numerator 2 cross times open parentheses begin display style 1 half end style close parentheses squared plus 4 cross times open parentheses begin display style 2 over 3 end style square root of 3 close parentheses minus 1 over denominator open parentheses begin display style 1 half end style close parentheses squared plus open parentheses begin display style 1 half end style square root of 3 close parentheses squared end fraction end cell row blank equals cell fraction numerator 2 cross times begin display style 1 fourth end style plus begin display style 8 over 3 end style square root of 3 minus 1 over denominator begin display style 1 fourth end style plus begin display style 3 over 4 end style end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style plus begin display style 8 over 3 end style square root of 3 minus 1 over denominator begin display style 1 end style end fraction end cell row blank equals cell 8 over 3 square root of 3 minus 1 half end cell end table$

Jadi, nilai dari $fraction numerator 2 open parentheses cos space 60 degree close parentheses squared plus 4 open parentheses sec space 30 degree close parentheses minus tan space 45 degree over denominator open parentheses sin space 30 degree close parentheses squared plus open parentheses cos space 30 degree close parentheses squared end fraction$ adalah