Pertanyaan

Hitunglah nilai dari tan 6 0 ∘ sin 3 0 ∘ + cos 6 0 ∘ !

Hitunglah nilai dari $\frac{sin 3 0 ^{\circ} + cos 6 0 ^{\circ}}{tan 6 0 ^{\circ}}$ !

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Habis dalam

Klaim

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

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$begin mathsize 14px style fraction numerator sin space 30 degree plus cos space 60 degree over denominator tan space 60 degree end fraction equals fraction numerator square root of 3 over denominator 3 end fraction end style$ .

Pembahasan

Perhatikan bahwa Maka Jadi .

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 30 degree end cell equals cell 1 half end cell row cell cos space 60 degree end cell equals cell 1 half end cell row cell tan space 60 degree end cell equals cell square root of 3 end cell end table end style

Maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator sin space 30 degree plus cos space 60 degree over denominator tan space 60 degree end fraction end cell equals cell fraction numerator begin display style 1 half end style plus begin display style 1 half end style over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator begin display style 2 over 2 end style over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator square root of 3 over denominator 3 end fraction end cell end table end style$

Jadi $begin mathsize 14px style fraction numerator sin space 30 degree plus cos space 60 degree over denominator tan space 60 degree end fraction equals fraction numerator square root of 3 over denominator 3 end fraction end style$ .