Rumus Identitas Trigonometri

Kumpulan kartu memori kosakata rumus identitas trigonometri, mencakup identitas dasar, identitas Pythagoras, sudut ganda, jumlah dan selisih sudut, serta perkalian sinus dan cosinus.

Identitas Kebalikan $\text{cosec}(\alpha)$

$$\frac{1}{\sin(\alpha)}$$

Identitas Kebalikan $\sec(\alpha)$

$$\frac{1}{\cos(\alpha)}$$

Identitas Kebalikan $\cot(\alpha)$

$\frac{1}{\tan(\alpha)}$ atau $\frac{\cos(\alpha)}{\sin(\alpha)}$

Identitas Rasio $\tan(\alpha)$

$$\frac{\sin(\alpha)}{\cos(\alpha)}$$

Identitas Pythagoras Pokok

$$\sin^2(\alpha) + \cos^2(\alpha) = 1$$

Identitas Pythagoras Tangen dan Secan

$$\tan^2(\alpha) + 1 = \sec^2(\alpha)$$

Identitas Pythagoras Cotangen dan Cosecan

$$\cot^2(\alpha) + 1 = \text{cosec}^2(\alpha)$$

Rumus Sudut Ganda $\sin(2\alpha)$

$$2\sin(\alpha)\cos(\alpha)$$

Rumus Sudut Ganda $\cos(2\alpha)$

$$\cos^2(\alpha) - \sin^2(\alpha) = 2\cos^2(\alpha) - 1 = 1 - 2\sin^2(\alpha)$$

Rumus Sudut Ganda $\tan(2\alpha)$

$$\frac{2\tan(\alpha)}{1 - \tan^2(\alpha)}$$

Rumus Jumlah Sudut $\sin(A + B)$

$$\sin(A)\cos(B) + \cos(A)\sin(B)$$

Rumus Selisih Sudut $\sin(A - B)$

$$\sin(A)\cos(B) - \cos(A)\sin(B)$$

Rumus Jumlah Sudut $\cos(A + B)$

$$\cos(A)\cos(B) - \sin(A)\sin(B)$$

Rumus Selisih Sudut $\cos(A - B)$

$$\cos(A)\cos(B) + \sin(A)\sin(B)$$

Rumus Jumlah Sudut $\tan(A + B)$

$$\frac{\tan(A) + \tan(B)}{1 - \tan(A)\tan(B)}$$

Rumus Selisih Sudut $\tan(A - B)$

$$\frac{\tan(A) - \tan(B)}{1 + \tan(A)\tan(B)}$$

Rumus Perkalian $2\sin(\alpha)\cos(\beta)$

$$\sin(\alpha + \beta) + \sin(\alpha - \beta)$$

Rumus Perkalian $2\cos(\alpha)\sin(\beta)$

$$\sin(\alpha + \beta) - \sin(\alpha - \beta)$$

Rumus Perkalian $2\cos(\alpha)\cos(\beta)$

$$\cos(\alpha + \beta) + \cos(\alpha - \beta)$$

Rumus Perkalian $-2\sin(\alpha)\sin(\beta)$

$$\cos(\alpha + \beta) - \cos(\alpha - \beta)$$

Penjabaran $\cos(4x)$ ke dalam bentuk sinus

$$1 - 8\sin^2(x) + 8\sin^4(x)$$