Perhatikan penjelasan berikut ini.
Sin (sinus) adalah perbandingan panjang dalam sebuah segitiga antara sisi depan (de) sudut dengan sisi miringnya (mi).
Cos (cosinus) adalah perbandingan panjang dalam sebuah segitiga antara sisi samping (sa) sudut dengan sisi miringnya (mi).
Tan (tangen) adalah perbandingan panjang dalam sebuah segitiga antara sisi depan (de) sudut dan sisi sampingnya (sa).
Cosec (cosecan) adalah perbandingan panjang dalam sebuah segitiga antara sisi miri (mi) sudut dengan sisi depannya (de).
Sec (secan) adalah perbandingan panjang dalam sebuah segitiga antara sisi miring (mi) sudut dengan sisi sampingnya (sa).
Cot (cotangen) adalah perbandingan panjang dalam sebuah segitiga antara sisi samping (sa) sudut dan sisi depannya (sa).
misalkan :
langkah awal yaitu mencari nilai
,untuk mencari nilai
segitiga tersebut dapat menggunakan teorema Pythagoras, yaitu:
Didapatkan sisi miring segitiga tersebut
, karena suatu panjang tidak mungkin negatif maka dipilih
.
Jadi, nilai
tersebut adalah 24.
Nilai perbandingan trigonometri tersebut yaitu:
![table attributes columnalign right center left columnspacing 0px end attributes row cell Sin space straight A end cell equals cell de over mi equals 24 over 26 equals 12 over 13 end cell row cell Cos space straight A end cell equals cell sa over mi equals 10 over 26 equals 5 over 13 end cell row cell Tan space straight A end cell equals cell de over sa equals 24 over 10 equals 12 over 5 end cell row cell Cosec space straight A end cell equals cell mi over de equals 26 over 24 equals 13 over 12 end cell row cell Sec space straight A end cell equals cell mi over sa equals 26 over 10 equals 13 over 5 end cell row cell Cot space straight A end cell equals cell sa over de equals 10 over 24 equals 5 over 12 end cell end table](data:image/png;base64,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)