Ch. 3 - Radian Measure and The Unit Circle

Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo

Lial 12th Edition

Ch. 3 - Radian Measure and The Unit Circle

Problema 42

Capitolo 4, Problema 42

Convert each radian measure to degrees. See Examples 2(a) and 2(b). 11π/30

Guida verificata passo dopo passo

Recall the conversion formula from radians to degrees: \(\text{degrees} = \text{radians} \times \frac{180}{\pi}\).

Identify the given radian measure: \(\frac{11\pi}{30}\).

Substitute the radian value into the conversion formula: \(\frac{11\pi}{30} \times \frac{180}{\pi}\).

Simplify the expression by canceling out \(\pi\) in numerator and denominator: \(\frac{11}{30} \times 180\).

Multiply the remaining numbers to find the degree measure: \(11 \times \frac{180}{30}\).

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Radian Measure

A radian is a unit of angular measure based on the radius of a circle. One radian is the angle created when the arc length equals the radius. It is a standard unit in trigonometry and is related to degrees by the conversion factor 180°/π.

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Converting between Degrees & Radians

Degree Measure

Degrees are a common unit for measuring angles, where a full circle is divided into 360 equal parts. Degrees are often used in practical applications and can be converted to and from radians using the relationship 180° = π radians.

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Percorso guidato

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Converting between Degrees & Radians

Conversion Between Radians and Degrees

To convert radians to degrees, multiply the radian value by 180/π. This conversion uses the equivalence of π radians to 180 degrees, allowing you to express angles in the more familiar degree measure.

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Percorso guidato

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Converting between Degrees & Radians

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