Domanda del libro di testo
Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. See Example 4(b). 174.255°
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Ch. 1 - Trigonometric Functions
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 2, Problema 70
Convert each angle measure to degrees, minutes, and seconds. If applicable, round to the nearest second. -25.485°
Guida verificata passo dopo passo1
Identify the given angle in decimal degrees: \(-25.485^\circ\).
Separate the angle into its degrees part and the decimal part. The degrees part is the integer portion, which is \(-25^\circ\).
Take the absolute value of the decimal part (ignore the negative sign for now) to convert it into minutes: multiply \(0.485\) by \(60\) to get the minutes.
Separate the minutes into its integer part and decimal part. The integer part is the minutes, and the decimal part will be converted into seconds by multiplying by \(60\).
Combine the degrees, minutes, and seconds, and then reapply the negative sign to the degrees to reflect the original angle's direction.
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Decimal Degrees to Degrees, Minutes, and Seconds Conversion
This concept involves converting an angle expressed in decimal degrees into degrees, minutes, and seconds (D° M' S"). One degree equals 60 minutes, and one minute equals 60 seconds. The integer part of the decimal degree is the degrees, the decimal remainder multiplied by 60 gives minutes, and the remaining decimal part of minutes multiplied by 60 gives seconds.
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Percorso guidato
5:04
Converting between Degrees & Radians
Handling Negative Angles in Angle Conversion
When converting negative angles, the sign applies to the degrees, while minutes and seconds remain positive values. This means the angle is measured in the opposite direction, but minutes and seconds are always expressed as positive quantities to maintain clarity in the angle's components.
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Percorso guidato
04:46Coterminal Angles
Rounding to the Nearest Second
After calculating seconds from the decimal part of minutes, rounding to the nearest whole number is necessary for precision. This ensures the angle is expressed in a standard format, making it easier to interpret and use in further calculations or applications.
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Percorso guidato
4:45How to Use a Calculator for Trig Functions
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