TRIGONOMETRI
A. JUMLAH DAN SELISIH SUDUT
| No | Rumus |
|---|---|
| 1 | \(\sin (A + B) = \sin A \cos B + \cos A \sin B \)
\(\sin (A - B) = \sin A \cos B - \cos A \sin B \) |
| 2 | \(\cos (A + B) = \cos A \cos B - \sin A \sin B \)
\(\cos (A - B) = \cos A \cos B + \sin A \sin B \) |
| 3 | \(\tan (A + B) = \dfrac{\tan A + \tan B}{1 - \tan A \tan B} \)
\(\tan (A - B) = \dfrac{\tan A - \tan B}{1 + \tan A \tan B} \) |
B. SUDUT RANGKAP
| No | Rumus | Rumus | Rumus |
|---|---|---|---|
| 1 | \(\sin 2x = 2 \sin x \cos x \) | \(\sin 3x = 3 \sin x - 4 \sin^3 x \) | |
| 2 | \(\cos 2x = \cos^2 x - \sin^2 x \)
\(\cos 2x = 2\cos^2 x - 1 \) \(\cos 2x = 1 - 2\sin^2 x \) |
\(\cos^2 x = \dfrac{1}{2} + \dfrac{1}{2} \cos 2x \)
\(\sin^2 x = \dfrac{1}{2} - \dfrac{1}{2} \cos 2x \) |
\(\cos 3x = 4\cos^3 x - 3 \cos x \) |
| 3 | \(\tan 2x = \dfrac{2 \tan x}{1 - \tan^2 x} \) | \(\tan 3x = \dfrac{3 \tan x - \tan^3 x}{1 - 3 \tan^2 x}\) |
C. PENJUMLAHAN DAN PERKALIAN FUNGSI
| No | Rumus | Rumus |
|---|---|---|
| 1 | \(\sin A + \sin B = 2 \sin \frac{1}{2} (A + B) \cos \frac{1}{2} (A - B)\) | \(2 \sin A \cos B = \sin (A + B) + \sin (A - B) \) |
| 2 | \(\sin A - \sin B = 2 \cos \frac{1}{2} (A + B) \sin \frac{1}{2} (A - B)\) | \(2 \cos A \sin B = \sin (A + B) - \sin (A - B) \) |
| 3 | \(\cos A + \cos B = 2 \cos \frac{1}{2} (A + B) \cos \frac{1}{2} (A - B)\) | \(2 \cos A \cos B = \cos (A + B) + \cos (A - B) \) |
| 4 | \(\cos A - \cos B = -2 \sin \frac{1}{2} (A + B) \sin \frac{1}{2} (A - B)\) | \(-2 \sin A \sin B = \cos (A + B) - \cos (A - B) \) |