Domanda del libro di testo
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
sin s = 0.9918
640
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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 62
Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).
9.84763
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, 9.84763, by \(\dfrac{180}{\pi}\) to convert it to degrees: \(9.84763 \times \dfrac{180}{\pi}\).
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 (decimal minutes).
Convert the fractional part of the degrees to minutes by multiplying it by 60, then round the result to the nearest whole number to get the minutes.
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Concetti chiave
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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.
Video consigliato:
Percorso guidato
5:04
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
5:04Converting between Degrees & Radians
Rounding to the Nearest Minute
After converting the decimal degrees to minutes, rounding to the nearest minute involves approximating the fractional minutes to the closest whole number. This ensures the angle measurement is precise and easy to communicate.
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Percorso guidato
4:45How to Use a Calculator for Trig Functions
Pratica correlata
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Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).
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Domanda del libro di testo
Find the approximate value of s, to four decimal places, in the interval [0 , π/2] that makes each statement true.
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Domanda del libro di testo
Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).
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Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
tan s = 0.2126
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Domanda del libro di testo
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
cos s = 0.7826
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