# Ringkasan

### Ringkasan

#### 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 $$\cos 3x = 4\cos^3 x - 3 \cos x$$ 3 $$\tan 3x = \dfrac{3 \tan x - \tan^3 x}{1 - 3 \tan^2 x}$$

 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 $$-2 \sin A \sin B = \cos (A + B) - \cos (A - B)$$