Trigonometric Identities

Flashcards covering reciprocal, quotient, Pythagorean, and even/odd trigonometric identities along with strategies for verifying identities.

Reciprocal Identity for Secant

$$\sec(x) = \frac{1}{\cos(x)}$$

Reciprocal Identity for Cosecant

$$\csc(x) = \frac{1}{\sin(x)}$$

Reciprocal Identity for Cotangent

$$\cot(x) = \frac{1}{\tan(x)}$$

Quotient Identity for Tangent

$$\tan(x) = \frac{\sin(x)}{\cos(x)}$$

Quotient Identity for Cotangent

$$\cot(x) = \frac{\cos(x)}{\sin(x)}$$

Fundamental Pythagorean Identity

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

Pythagorean Identity for Cotangent and Cosecant

$$1 + \cot^2(\theta) = \csc^2(\theta)$$

Pythagorean Identity for Tangent and Secant

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