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Period of 2𝛑 Radians

Definition

The period of 2𝛑 radians refers to the interval required for sine, cosine, and tangent functions to complete one full cycle when measured in radians. In other words, after going through an angle of 2𝛑 radians, these trigonometric functions return to their initial values.

Related terms

Frequency: Frequency represents how many cycles occur per unit length or time. It's like counting how many laps you can ride around a circular track within a specific time frame.

Angular Velocity: Angular velocity measures how fast an object rotates or moves along a circular path per unit time. It's similar to calculating how quickly you pedal your bicycle while riding around the circular track.

Trigonometric Identities: Trigonometric identities are equations involving trigonometric functions that hold true for all possible input values. They're like rules or formulas that help us manipulate and simplify expressions involving sine, cosine, and tangent functions.

"Period of 2𝛑 Radians" appears in:

Study guides (1)

  • AP Pre-Calculus - 3.10 Trigonometric Equations and Inequalities

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About Us

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Cram Mode

AP Score Calculators

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.