Domanda del libro di testo
Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).
9.84763
655
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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 63
Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).
-5.01095
Guida verificata passo dopo passo1
Recall the conversion formula between radians and degrees: \(\text{degrees} = \text{radians} \times \dfrac{180}{\pi}\).
Multiply the given radian measure, \(-5.01095\), by \(\dfrac{180}{\pi}\) to convert it to degrees: \(-5.01095 \times \dfrac{180}{\pi}\).
Calculate the decimal degree value from the multiplication (do not round yet).
Separate the decimal degree value into its whole number part (degrees) and the fractional part.
Convert the fractional part of the degrees into minutes by multiplying it by 60, then round to the nearest whole minute.
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Radian to Degree Conversion
Radians and degrees are two units for measuring angles. To convert radians to degrees, multiply the radian measure by 180/π. This conversion is essential because degrees are often easier to interpret and are commonly used in practical applications.
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Percorso guidato
5:04
Converting between Degrees & Radians
Degree, Minutes, and Seconds
Degrees can be subdivided into minutes and seconds, where 1 degree equals 60 minutes and 1 minute equals 60 seconds. Writing answers to the nearest minute means converting the decimal part of degrees into minutes by multiplying by 60 and rounding appropriately.
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Percorso guidato
5:04Converting between Degrees & Radians
Rounding and Precision
When converting and expressing angles, rounding to the nearest minute requires careful handling of decimal values to maintain accuracy. This ensures the final answer is precise and consistent with the required format, avoiding errors in interpretation.
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Percorso guidato
2:22Cardioids Example 1
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