Domanda del libro di testo
Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
42.5°
660
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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 45
Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
39°
Guida verificata passo dopo passo1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given degree measure into the formula: \(39^\circ \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{39}{180}\) by dividing numerator and denominator by their greatest common divisor.
Express the result as a multiple of \(\pi\), for example, \(\frac{39}{180} \pi\) or its simplified form.
If a decimal approximation is needed, multiply the simplified fraction by the approximate value of \(\pi \approx 3.1416\) and round to the nearest thousandth.
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Degree to Radian Conversion
Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply the degree measure by π/180. This conversion is essential because radians are the standard unit in many trigonometric calculations.
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Percorso guidato
5:04
Converting between Degrees & Radians
Use of π in Radian Measures
Radians are often expressed in terms of π to maintain exact values. For example, 180° equals π radians. Understanding how to represent angles using π helps in simplifying trigonometric expressions and solving problems accurately.
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Percorso guidato
5:04Converting between Degrees & Radians
Rounding to the Nearest Thousandth
When converting degrees to radians, the result may be an irrational number. Rounding to the nearest thousandth means limiting the decimal places to three digits, which balances precision and simplicity for practical use.
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Percorso guidato
4:45How to Use a Calculator for Trig Functions
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