Trigonometric Functions and Unit Circle

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

Last updated 4:02 PM on 3/20/25
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13 Terms

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Reciprocals

Values obtained by flipping the ratio of trigonometric functions.

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Hypotenuse

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

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sin(θ)

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

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csc(θ)

The cosecant of θ, equal to 1/sin(θ).

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cos(θ)

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

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sec(θ)

The secant of θ, equal to 1/cos(θ).

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tan(θ)

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

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cot(θ)

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

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Unit Circle

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

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CSC(θ) at specific angles

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

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cot(π/4)

The cotangent of π/4, which equals 1.

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sin(π/6)

The sine of π/6, equal to 1/2.

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sec(θ) at specific angles

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

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