Domanda del libro di testo
Convert each degree measure to radians. Leave answers as multiples of π.
800°
687
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Ch. 3 - Radian Measure and The Unit Circle
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 4, Problema 11
Convert each radian measure to degrees.
5π/4
Guida verificata passo dopo passo1
Recall the conversion formula between radians and degrees: \(\text{Degrees} = \text{Radians} \times \frac{180}{\pi}\).
Identify the given radian measure: \(\frac{5\pi}{4}\).
Substitute the radian value into the conversion formula: \(\frac{5\pi}{4} \times \frac{180}{\pi}\).
Simplify the expression by canceling out \(\pi\) in the numerator and denominator: \(\frac{5}{4} \times 180\).
Multiply the remaining numbers to find the degree measure: \(5 \times \frac{180}{4}\).
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Concetti chiave
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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 radians.
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Percorso guidato
5:04
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 radians using the relationship 1 radian = 180/π degrees.
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Percorso guidato
5:04Converting between Degrees & Radians
Conversion Between Radians and Degrees
To convert radians to degrees, multiply the radian measure by 180/π. This conversion uses the equivalence of π radians to 180 degrees, allowing you to express angles in the more familiar degree unit.
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Percorso guidato
5:04Converting between Degrees & Radians
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