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Nilai dari cos 25 0 ∘ + cos 19 0 ∘ sin 10 0 ∘ + sin 2 0 ∘ adalah ....

Nilai dari $\frac{sin 10 0 ^{\circ} + sin 2 0 ^{\circ}}{cos 25 0 ^{\circ} + cos 19 0 ^{\circ}}$ adalah ....

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Klaim

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style fraction numerator sin invisible function application space 100 degree plus sin space invisible function application 20 degree over denominator cos invisible function application space 250 degree plus cos space invisible function application 190 degree end fraction equals fraction numerator 2 sin invisible function application space 1 half left parenthesis 100 degree plus 20 degree right parenthesis space cos space invisible function application 1 half left parenthesis 100 degree minus 20 degree right parenthesis over denominator 2 cos invisible function application space 1 half left parenthesis 250 degree plus 190 degree right parenthesis space cos invisible function application space 1 half left parenthesis 250 degree minus 190 degree right parenthesis end fraction equals fraction numerator sin invisible function application space 60 degree space cos space invisible function application 40 degree over denominator cos invisible function application space 220 degree space cos space invisible function application 30 degree end fraction equals fraction numerator 1 half square root of 3 cos space invisible function application 40 degree over denominator cos invisible function application space left parenthesis 180 degree plus 40 degree right parenthesis space 1 half square root of 3 end fraction equals fraction numerator cos invisible function application space 40 degree over denominator negative cos invisible function application space 40 degree end fraction equals negative 1 end style$