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SMK Teknologi dan Rekayasa

Soal 87 Perbandingan Trigonometri


Diketahui\ cot\ A=\frac{7}{24}\ \ dengan\ A\ sudut\ lancip,\ maka\ sin\ A+cos\ A=\ ....
a.\ \ \frac{25}{7}\ \ \ \ \ \ \ \ \ \ b.\ \ \frac{24}{7}\ \ \ \ \ \ \ \ \ \ c.\ \ \frac{31}{25}\ \ \ \ \ \ \ \ \ \ d.\ \ \frac{25}{24}\ \ \ \ \ \ \ \ \ \ e.\ \ \frac{24}{25}
Jawaban: c


Dengan\ menggunakan\ dalil\ Pythagoras\ \ (x^{2}=24^{2}+7^{2})\ \ diperoleh\ x=25.
sin\ A=\frac{24}{x}=\frac{24}{25}
cos\ A=\frac{7}{x}=\frac{7}{25}
sin\ A+cos\ A=\frac{24}{25}+\frac{7}{25}=\frac{31}{25}

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