PENJUMLAHAN 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 |
\(\tan (A + B) = \dfrac{\tan A + \tan B}{1 - \tan A \tan B} \)
\(\tan (A - B) = \dfrac{\tan A - \tan B}{1 + \tan A \tan B} \) |
SUDUT RANGKAP
No | Rumus |
1 |
\(\sin 2x = 2 \sin x \cos x \) |
2 |
\(\cos 2x = \cos^2 x - \sin^2 x \) \(\cos 2x = 2\cos^2 x - 1 \) \(\cos 2x = 1 - 2\sin^2 x \) |
3 |
\(\tan 2x = \dfrac{2 \tan x}{1 - \tan^2 x} \) |
SUDUT TRIPLE
No | Rumus |
1 |
\(\sin 3x = 3 \sin x - 4 \sin^3 x \) |
2 |
\(\cos 3x = 4\cos^3 x - \cos x \) |
3 |
\(\tan 3x = \dfrac{3 \tan x - \tan^3 x}{1 - 3 \tan^2 x}\) |
BENTUK KUADRAT
No | Rumus |
1 |
\(\cos^2 x = \frac{1}{2} + \frac{1}{2} \cos 2x \) |
2 |
\(\sin^2 x = \frac{1}{2} - \frac{1}{2} \cos 2x \) |
PENJUMLAHAN FUNGSI
No | Rumus |
1 |
\(\sin A + \sin B = 2 \sin \frac{1}{2} (A + B) \cos \frac{1}{2} (A - B)\) |
2 |
\(\sin A - \sin B = 2 \cos \frac{1}{2} (A + B) \sin \frac{1}{2} (A - B)\) |
3 |
\(\cos A + \cos B = 2 \cos \frac{1}{2} (A + B) \cos \frac{1}{2} (A - B)\) |
4 |
\(\cos A - \cos B = -2 \sin \frac{1}{2} (A + B) \sin \frac{1}{2} (A - B)\) |
PERKALIAN FUNGSI
No | Rumus |
1 |
\(2 \sin A \cos B = \sin (A + B) + \sin (A - B) \) |
2 |
\(2 \cos A \sin B = \sin (A + B) - \sin (A - B) \) |
3 |
\(2 \cos A \cos B = \cos (A + B) + \cos (A - B) \) |
4 |
\(-2 \sin A \sin B = \cos (A + B) - \cos (A - B) \) |