Pertanyaan

Nilai dari cos 21 0 ∘ + cos 30 0 ∘ sin 12 0 ∘ + sin 15 0 ∘ = ⋯

Nilai dari $\frac{sin 12 0 ^{\circ} + sin 15 0 ^{\circ}}{cos 21 0 ^{\circ} + cos 30 0 ^{\circ}} = \dots$

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8 dari 10 siswa nilainya naik

dengan paket belajar pilihan

Habis dalam

Klaim

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style fraction numerator sin space 120 degree plus sin space 150 degree over denominator cos space 210 degree plus cos space 300 degree end fraction equals fraction numerator s in space left parenthesis 180 minus 60 right parenthesis degree plus sin space left parenthesis 180 minus 30 right parenthesis degree over denominator cos space left parenthesis 180 plus 30 right parenthesis degree plus cos space left parenthesis 360 minus 60 right parenthesis degree end fraction end style$

$begin mathsize 14px style equals fraction numerator sin space 60 degree plus sin space 30 degree over denominator negative cos space 30 degree plus cos space 60 degree end fraction end style$

$size 14px equals fraction numerator size 14px 1 over size 14px 2 square root of size 14px 3 size 14px plus size 14px 1 over size 14px 2 over denominator size 14px minus size 14px 1 over size 14px 2 square root of size 14px 3 size 14px plus size 14px 1 over size 14px 2 end fraction size 14px equals fraction numerator size 14px 1 over size 14px 2 square root of size 14px 3 size 14px plus size 14px 1 over size 14px 2 over denominator size 14px minus size 14px 1 over size 14px 2 square root of size 14px 3 size 14px plus size 14px 1 over size 14px 2 end fraction size 14px cross times size 14px 2 over size 14px 2 size 14px equals fraction numerator square root of size 14px 3 size 14px plus size 14px 1 over denominator size 14px minus square root of size 14px 3 size 14px plus size 14px 1 end fraction size 14px equals fraction numerator square root of size 14px 3 size 14px plus size 14px 1 over denominator size 14px minus square root of size 14px 3 size 14px plus size 14px 1 end fraction size 14px cross times fraction numerator square root of size 14px 3 size 14px plus size 14px 1 over denominator square root of size 14px 3 size 14px plus size 14px 1 end fraction size 14px equals fraction numerator size 14px 3 size 14px plus square root of size 14px 3 size 14px plus square root of size 14px 3 size 14px plus size 14px 1 over denominator size 14px minus size 14px 3 size 14px plus size 14px 1 end fraction size 14px equals fraction numerator size 14px 4 size 14px plus size 14px 2 square root of size 14px 3 over denominator size 14px minus size 14px 2 end fraction size 14px equals size 14px minus size 14px 2 size 14px minus square root of size 14px 3$