Pertanyaan

Jika 8 cos 2 4 5 ∘ ⋅ sin 2 6 0 ∘ x cosec 2 3 0 ∘ ⋅ secan 2 4 5 ∘ = tan 2 6 0 ∘ − tan 2 3 0 ∘ , maka nilai x adalah ...

Jika $\frac{x cosec ^{2} 3 0 ^{\circ} \cdot secan ^{2} 4 5 ^{\circ}}{8 cos ^{2} 4 5 ^{\circ} \cdot sin ^{2} 6 0 ^{\circ}} = tan^{2} 6 0^{\circ} - tan^{2} 3 0^{\circ}$ , maka nilai $x$ adalah ...

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Ingat! Maka: Jadi, jawaban yang tepat adalah D.

Ingat!

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator size 12px x size 12px space size 12px cosec to the power of size 12px 2 size 12px 30 size 12px degree size 12px times size 12px secan to the power of size 12px 2 size 12px 45 size 12px degree over denominator size 12px 8 size 12px space size 12px cos to the power of size 12px 2 size 12px 45 size 12px degree size 12px times size 12px sin to the power of size 12px 2 size 12px 60 size 12px degree end fraction end cell size 12px equals cell size 12px tan to the power of size 12px 2 size 12px 60 size 12px degree size 12px minus size 12px tan to the power of size 12px 2 size 12px 30 size 12px degree end cell row cell fraction numerator x left parenthesis 2 squared right parenthesis left parenthesis square root of 2 right parenthesis squared over denominator 8 space left parenthesis begin display style 1 half end style square root of 2 right parenthesis squared left parenthesis begin display style 1 half end style square root of 3 right parenthesis squared end fraction end cell equals cell square root of 3 squared minus left parenthesis 1 third square root of 3 right parenthesis squared space end cell row cell fraction numerator 8 x over denominator 8 left parenthesis begin display style 1 half end style right parenthesis left parenthesis begin display style 3 over 4 end style right parenthesis end fraction end cell equals cell 3 minus 1 third end cell row cell fraction numerator 8 x over denominator 3 end fraction end cell equals cell 8 over 3 end cell row cell 8 x end cell equals 8 row x equals 1 end table$

Jadi, jawaban yang tepat adalah D.