Pertanyaan

Nilai dari sin 2 + 4 m u 4 5 ∘ tan + 4 m u 6 0 ∘ − 2 cos + 4 m u 6 0 ∘ = ...

Nilai dari $\frac{tan + 4 m u 6 0 ^{\circ} - 2 cos + 4 m u 6 0 ^{\circ}}{sin ^{2} + 4 m u 4 5 ^{\circ}} = ...$

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

hasil dari .

hasil dari $fraction numerator tan open parentheses 60 degree close parentheses minus 2 cos open parentheses 60 degree close parentheses over denominator sin squared open parentheses 45 degree close parentheses end fraction equals 2 open parentheses square root of 3 minus 1 close parentheses$ .

Pembahasan

Ingat bahwa: Sehingga: Jadi, hasil dari .

Ingat bahwa:

$table attributes columnalign right center left columnspacing 0px end attributes row cell tan open parentheses 60 degree close parentheses end cell equals cell square root of 3 end cell row cell cos open parentheses 60 degree close parentheses end cell equals cell 1 half end cell row cell sin open parentheses 45 degree close parentheses end cell equals cell fraction numerator square root of 2 over denominator 2 end fraction end cell end table$

Sehingga:

$fraction numerator tan open parentheses 60 degree close parentheses minus 2 cos open parentheses 60 degree close parentheses over denominator sin squared open parentheses 45 degree close parentheses end fraction equals fraction numerator square root of 3 minus 2 times 1 half over denominator open parentheses fraction numerator square root of 2 over denominator 2 end fraction close parentheses squared end fraction equals fraction numerator square root of 3 minus 2 times 1 half over denominator 1 half end fraction equals fraction numerator square root of 3 minus 1 over denominator 1 half end fraction equals fraction numerator open parentheses square root of 3 minus 1 close parentheses times 2 over denominator 1 end fraction equals 2 open parentheses square root of 3 minus 1 close parentheses$

Jadi, hasil dari $fraction numerator tan open parentheses 60 degree close parentheses minus 2 cos open parentheses 60 degree close parentheses over denominator sin squared open parentheses 45 degree close parentheses end fraction equals 2 open parentheses square root of 3 minus 1 close parentheses$ .