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Latihan Soal Arsip | Catatan Nurkholis

Problem – Nilai Maksimum fungsi Trigonometri

Problem:Tentukan nilai maksimum dari$$y=5- frac{15}{4cos x – 2sqrt{5}sin x +9}$$ Solusi:Perhatikan bahwa $4cos x – 2sqrt{5}sin x$ dapat disederhanakan menjadi:$$begin{aligned}4cos x – 2sqrt{5}sin x&=left(sqrt{16+20}right)left(cosalphacos x – sinalphasin xright)quad alpha=arctan{frac{sqrt{5}}{2}}\&=6cos(x+alpha)end{aligned}$$Sehingga soal di atas dapat disederhanakan menjadi:$$y=5-frac{15}{6cos(x+alpha)+9}$$Agar nilai $y$ maksimum, haruslah $displaystyle frac{15}{6cos(x+alpha)+9}$ minimum. Yang berarti bahwa nilai $cos(x+alpha)$ mencapai maksimum, yakni $= 1$. Sehingga Nilai maksimum …

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Latihan Soal UN SD

Buat persiapan UN SD/MI tahun 2012, berikut ini beberapa latihan soal Matematika UN SD/MI yang telah disesuaikan dengan SKL UN 2012. Semoga bisa bermanfaat Latihan 1 Matematika UN SDLatihan 2 Matematika UN SDLatihan 3 Matematika UN SDLatihan 4 Matematika UN SDLatihan 5 Matematika UN SDLatihan 6 Matematika UN SDLatihan 7 Matematika UN SDLatihan 8 Matematika UN SD sumber:http://cakepmuchtar.wordpress.com/2012/03/30/soal-un-sd-matematika-sesuai-skl-2012/