Pertanyaan

Nilai dari cos 14 5 ∘ ⋅ sin 14 5 ∘ ⋅ cos 15 5 ∘ cos 2 5 ∘ ⋅ sin 3 5 ∘ ⋅ sin 5 5 ∘ = ...

Nilai dari $\frac{cos 2 5 ^{\circ} \cdot sin 3 5 ^{\circ} \cdot sin 5 5 ^{\circ}}{cos 14 5 ^{\circ} \cdot sin 14 5 ^{\circ} \cdot cos 15 5 ^{\circ}} = ...$

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Oleh karena itu, jawaban yang benar adalah D.

$fraction numerator cos 25 degree times sin 35 degree times sin 55 degree over denominator cos 145 degree times sin 145 degree times cos 155 degree end fraction equals fraction numerator cos 25 degree times sin 35 degree times sin 55 degree over denominator cos left parenthesis 180 degree minus 35 degree right parenthesis times sin left parenthesis 180 degree minus 35 degree right parenthesis times cos left parenthesis 180 degree minus 25 degree right parenthesis end fraction equals fraction numerator down diagonal strike cos 25 degree end strike times up diagonal strike sin 35 degree end strike times sin 55 degree over denominator negative cos 35 degree times up diagonal strike sin 35 degree end strike times negative down diagonal strike cos 25 degree end strike end fraction equals fraction numerator sin 55 degree over denominator cos 35 degree end fraction equals fraction numerator sin open parentheses 90 degree minus 35 degree close parentheses over denominator cos 35 degree end fraction equals fraction numerator cos 35 degree over denominator cos 35 degree end fraction equals 1$

Oleh karena itu, jawaban yang benar adalah D.