2 Flashcards
(8 cards)
Nilai Trigonometri Sudut Istimewa
sin 0 = 0, sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2, sin 90° = 1
Sudut Istimewa dalam Radian
30° = π/6, 45° = π/4, 90° = π/2, 180° = π
Kuadran dan Tanda Trigonometri
I: Semua positif, II: Sin positif, III: Tan positif, IV: Cos positif
Identitas Dasar Trigonometri
sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, 1 + cot²θ = csc²θ, csc θ = 1/sin θ
Rumus Perbandingan Trigonometri
tan θ = sin θ / cos θ, cot θ = cos θ / sin θ, sec θ = 1 / cos θ
Rumus Sudut Ganda
sin 2θ = 2 sin θ cos θ, cos 2θ = cos²θ - sin²θ, tan 2θ = 2 tan θ / (1 - tan²θ)
Konversi Sudut dalam Kuadran Lain
Kuadran II: sin(180° - θ) = sin θ, cos(180° - θ) = -cos θ
Kuadran III: sin(180° + θ) = -sin θ, cos(180° + θ) = -cos θ
Kuadran IV: sin(360° - θ) = -sin θ, cos(360° - θ) = cos θ