Domanda del libro di testo
Work each problem. See Example 5. Irrigation Area A center-pivot irrigation system provides water to a sector-shaped field as shown in the figure. Find the area of the field if θ = 40.0° and r = 152 yd.
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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 60
Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c).
3.06
Guida verificata passo dopo passo1
Recall the conversion formula between radians and degrees: \(\text{Degrees} = \text{Radians} \times \dfrac{180}{\pi}\).
Substitute the given radian measure into the formula: \(3.06 \times \dfrac{180}{\pi}\).
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 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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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. Expressing angles in degrees and minutes provides a more precise measurement than decimal degrees.
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Percorso guidato
5:04Converting between Degrees & Radians
Rounding to the Nearest Minute
After converting radians to degrees and minutes, rounding to the nearest minute involves approximating the fractional part of the minutes to the closest whole number. This ensures the answer is both accurate and practical for use.
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Percorso guidato
4:45How to Use a Calculator for Trig Functions
Pratica correlata
Domanda del libro di testo
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
cos 6
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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).
0.3417
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Domanda del libro di testo
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
tan 6.29
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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.
tan s = 0.2126
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Domanda del libro di testo
Work each problem. See Example 5. Arc Length A circular sector has an area of 50 in² . The radius of the circle is 5 in. What is the arc length of the sector?
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