Page 10 - E-MODUL MATEMATIKA TRIGONOMETRI_Classical

E-Modul Matematika Aturan Sinus dan Cosinus

Bagaimana hasilnya? Apakah masih ingat? Jika sudah lupa yuk coba liat sekilas catatan dibawah ini!

CATATAN

Definisi Perbandingan Trigonometri Segitiga Siku-Siku

sin = cosec =

1 putaran = 360° cos = sec =

180°
1 radian =
tan = cotan =

SUDUT BERELASI
cos =

sin(90° − ) = cos sin(180° − ) = sin

tan =

cos(90° − ) = sin cos(180° − ) = −cos

tan(90° − ) = cotan tan(180° − ) = −tan

cosec(90° − ) = sec cosec(180° − ) = cosec sin(− ) = − sin

sec(90° − ) = sec(180° − ) = − cos(− ) = cos

cotan(90° − ) = tan cotan(180° − ) = −cotan tan(− ) = −tan

cosec(− ) = −cosec
sin(270° − ) = −cos sin(360° − ) = −sin

sec(− ) =
cos(270° − ) = −sin cos(360° − ) = cos
cotan(− ) = −cotan
tan(270° − ) = cotan tan(360° − ) = −tan

cosec(270° − ) = −sec cosec(360° − ) = −cosec

sec(270° − ) = − sec(360° − ) =

cotan(270° − ) = tan cotan(360° − ) = −cotan

Sudut & Kuadran Identitas Trigonometri

 Kuadran I = 0°< < 90° 1 1
sin = ↔ cosec =
All (sin, cos, tan, coosec,
sec, cotan) → POSITIF (+) 1 1
 Kuadran II = 90°< < cos = ↔ sec =

180° 1 1
Sin, cosec → POSITIF (+) tan = ↔ cotan =
 Kuadran III = 180°< <
270°
Tan, cotan → POSITIF (+) + = 1
2
2

 Kuadran IV = 270°< < 2 2
360° 1 + =
Cos, sec → POSITIF (+) 1 + =
2
2