Trigonometric Identities for Calculus BC

Fundamental trigonometric identities including double-angle formulas, Pythagorean identities, and power-reduction formulas required for second semester Calculus BC.

$$\sin(2x)$$

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

$\cos(2x)$ (Difference of squares form)

$$\cos^{2}(x) - \sin^{2}(x)$$

$\cos(2x)$ (Sine form)

$$1 - 2\sin^{2}(x)$$

$\cos(2x)$ (Cosine form)

$$2\cos^{2}(x) - 1$$

$$1 + \tan^{2}(x)$$

$$\sec^{2}(x)$$

$$1 + \cot^{2}(x)$$

$$\csc^{2}(x)$$

$\cos^{2}(x)$ (Power reduction form)

$$\frac{1 + \cos(2x)}{2}$$

$\sin^{2}(x)$ (Power reduction form)

$$\frac{1 - \cos(2x)}{2}$$