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Ch. 3 - Radian Measure and The Unit Circle
Lial - Trigonometry 12th Edition
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 4, Problema 61

Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).


0.3417

Guida verificata passo dopo passo
1
Recall the conversion formula between radians and degrees: \(\text{Degrees} = \text{Radians} \times \dfrac{180}{\pi}\).
Substitute the given radian measure into the formula: \(\text{Degrees} = 0.3417 \times \dfrac{180}{\pi}\).
Calculate the decimal degree value from the multiplication (do not round yet).
Separate the decimal degree into whole degrees and the fractional part. The whole number part is the degrees.
Convert the fractional part of the degree 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 in practical contexts.
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Converting between Degrees & Radians

Degrees, 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.
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Percorso guidato
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Converting between Degrees & Radians

Rounding to the Nearest Minute

After converting the decimal degrees to minutes, rounding to the nearest minute involves approximating the value to the closest whole number. This ensures the answer is precise and presented in a standard angular format.
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How to Use a Calculator for Trig Functions