Trigonometric Functions and Unit Circle

These flashcards cover key terminology and definitions related to trigonometric functions and the unit circle.

Reciprocals

Values obtained by flipping the ratio of trigonometric functions.

Hypotenuse

The longest side of a right triangle, opposite the right angle.

sin(θ)

The ratio of the length of the opposite side to the length of the hypotenuse.

csc(θ)

The cosecant of θ, equal to 1/sin(θ).

cos(θ)

The ratio of the length of the adjacent side to the length of the hypotenuse.

sec(θ)

The secant of θ, equal to 1/cos(θ).

tan(θ)

The ratio of the length of the opposite side to the length of the adjacent side.

cot(θ)

The cotangent of θ, equal to 1/tan(θ).

Unit Circle

A circle with a radius of 1, centered at the origin of a coordinate system, used to define trigonometric functions.

CSC(θ) at specific angles

Values of cosecant (1/sin) for particular angles such as π/4, π/2, etc.

cot(π/4)

The cotangent of π/4, which equals 1.

sin(π/6)

The sine of π/6, equal to 1/2.

sec(θ) at specific angles

Values of secant (1/cos) for specific angles in the unit circle.