Pertanyaan

Carilah nilai perbandingan trigonometri sudut untuk perbandingan yang lain. c. cos ec α = 3

Carilah nilai perbandingan trigonometri sudut untuk perbandingan yang lain.

c. $cos ec α = 3$

Y. Dewafijaya

Master Teacher

Mahasiswa/Alumni Politeknik Keuangan Negara STAN

Jawaban terverifikasi

Pembahasan

Ilustrasi segitiga Mencari nilai x dengan pythagoras Karena yang dicari panjang, kita ambil nilai positifnya

$C o s e c space alpha equals fraction numerator 1 over denominator sin space alpha end fraction equals fraction numerator m i r i n g over denominator d e p a n end fraction equals 3$

Ilustrasi segitiga

Mencari nilai x dengan pythagoras

3 squared equals 1 squared plus x squared x squared equals 3 squared minus 1 squared x equals plus-or-minus square root of 9 minus 1 end root

Karena yang dicari panjang, kita ambil nilai positifnya

x equals square root of 8 equals 2 square root of 2

$begin mathsize 14px style cos space straight alpha equals samping over miring equals fraction numerator 2 square root of 2 over denominator 3 end fraction equals 2 over 3 square root of 2 end style$

$begin mathsize 14px style tan space alpha equals depan over samping equals fraction numerator 1 over denominator 2 square root of 2 end fraction equals fraction numerator 1 over denominator 2 square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction equals 1 fourth square root of 2 end style$

$sec space straight alpha equals fraction numerator 1 over denominator cos space alpha end fraction equals miring over samping equals fraction numerator 3 over denominator 2 square root of 2 end fraction$

$cotan space straight alpha equals fraction numerator 1 over denominator tan space alpha end fraction equals samping over depan equals fraction numerator 2 square root of 2 over denominator 1 end fraction equals 2 square root of 2$