Diketahui segitiga ABC siku-siku di B. Jika cos A = 43, nilai cot A = ....

Pertanyaan

Diketahui segitiga ABC siku-siku di B. Jika cos A = $\frac34$ , nilai cot A = ....

Pembahasan:

Berdasarkan aturan cosinus (cosami) pada perbandingan sisi segitiga maka diperoleh gambar berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell B C end cell equals cell square root of 4 squared minus 3 squared end root end cell row blank equals cell square root of 16 minus 9 end root end cell row blank equals cell square root of 7 end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell cot space A end cell equals cell fraction numerator A B over denominator B C end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 7 end fraction end cell row blank equals cell fraction numerator 3 over denominator square root of 7 end fraction cross times fraction numerator square root of 7 over denominator square root of 7 end fraction end cell row blank equals cell 3 over 7 square root of 7 end cell end table$

Dengan demikian, nilai cot A = $3 over 7 square root of 7$ .

Jawaban terverifikasi

Dijawab oleh:

P. Tessalonika

Mahasiswa/Alumni Universitas Negeri Medan

Terakhir diupdate 06 Oktober 2021