Trigonometry Formula Test Review

Comprehensive vocabulary flashcards covering the trigonometric identities listed in the lecture notes and preparation for the formula test on Monday, 10th August.

$$\sin(A+B)$$

$$\text{sin}(A)\text{cos}(B) + \text{cos}(A)\text{sin}(B)$$

$$\sin(A - B)$$

$$\text{sin}(A)\text{cos}(B) - \text{cos}(A)\text{sin}(B)$$

$$\text{cos}(A + B)$$

$$\text{cos}(A)\text{cos}(B) - \text{sin}(A)\text{sin}(B)$$

$$\text{cos}(A - B)$$

$$\text{cos}(A)\text{cos}(B) + \text{sin}(A)\text{sin}(B)$$

$$\text{sin}(A + B)\text{sin}(A - B)$$

$$\text{sin}^2(A) - \text{sin}^2(B)$$

$$\text{cos}(A + B)\text{cos}(A - B)$$

$$\text{cos}^2(A) - \text{sin}^2(B) = \text{cos}^2(B) - \text{sin}^2(A)$$

$$\text{sin}(2A)$$

$$2\text{sin}(A)\text{cos}(A)$$

$$\text{sin}(2A)$$

$$\frac{2\text{tan}(A)}{1 + \text{tan}^2(A)}$$

$$\text{cos}(2A)$$

$$\text{cos}^2(A) - \text{sin}^2(A)$$

$$\text{cos}(2A)$$

$$2\text{cos}^2(A) - 1$$

$$\text{cos}(2A)$$

$$1 - 2\text{sin}^2(A)$$

$$\text{cos}(2A)$$

$$\frac{1 - \text{tan}^2(A)}{1 + \text{tan}^2(A)}$$

$$2\text{cos}^2(A)$$

$$1 + \text{cos}(2A)$$

$$2\text{sin}^2(A)$$

$$1 - \text{cos}(2A)$$

\tan\big(\frac{\pi}{4} + \text{\theta}\big)

\frac{1 + \text{tan}(\text{\theta})}{1 - \text{tan}(\text{\theta})}

\tan\big(\frac{\pi}{4} - \text{\theta}\big)

\frac{1 - \text{tan}(\text{\theta})}{1 + \text{tan}(\text{\theta})}

$$\text{sin}(3A)$$

$$3\text{sin}(A) - 4\text{sin}^3(A)$$

$$\text{cos}(3A)$$

$$4\text{cos}^3(A) - 3\text{cos}(A)$$

$$\tan(A + B)$$

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

$$\tan(A - B)$$

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

$$\tan(2A)$$

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

$$\tan(3A)$$

$$\frac{3\text{tan}(A) - \text{tan}^3(A)}{1 - 3\text{tan}^2(A)}$$

$$2\text{sin}(A)\text{cos}(B)$$

$$\text{sin}(A + B) + \text{sin}(A - B)$$

$$2\text{cos}(A)\text{sin}(B)$$

$$\text{sin}(A + B) - \text{sin}(A - B)$$

$$2\text{cos}(A)\text{cos}(B)$$

$$\text{cos}(A + B) + \text{cos}(A - B)$$

$$2\text{sin}(A)\text{sin}(B)$$

$$\text{cos}(A - B) - \text{cos}(A + B)$$

$$\text{sin}(C) + \text{sin}(D)$$

$$2\text{sin}\big(\frac{C + D}{2}\big)\text{cos}\big(\frac{C - D}{2}\big)$$

$$\text{sin}(C) - \text{sin}(D)$$

$$2\text{cos}\big(\frac{C + D}{2}\big)\text{sin}\big(\frac{C - D}{2}\big)$$

$$\text{cos}(C) + \text{cos}(D)$$

$$2\text{cos}\big(\frac{C + D}{2}\big)\text{cos}\big(\frac{C - D}{2}\big)$$

$$\text{cos}(C) - \text{cos}(D)$$

$$2\text{sin}\big(\frac{C + D}{2}\big)\text{sin}\big(\frac{D - C}{2}\big)$$