Domanda del libro di testo
Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
42.5°
660
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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 47
Find a calculator approximation to four decimal places for each circular function value. cos (-0.2443)
Guida verificata passo dopo passo1
Recall that the cosine function is an even function, which means \(\cos(-x) = \cos(x)\). So, \(\cos(-0.2443) = \cos(0.2443)\).
Identify the angle in radians, which is \(0.2443\) radians in this case.
Use a scientific calculator or a calculator tool that can compute cosine values for angles in radians.
Input the angle \(0.2443\) into the calculator and select the cosine function to get the approximate value.
Round the result to four decimal places to obtain the final approximation for \(\cos(-0.2443)\).
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Circular Functions
Circular functions, such as sine and cosine, relate angles to coordinates on the unit circle. The cosine of an angle corresponds to the x-coordinate of the point on the unit circle at that angle, measured in radians. Understanding this helps interpret the function value for any given angle.
Video consigliato:
Percorso guidato
5:57
Graphs of Common Functions
Angle Measurement in Radians
Angles in trigonometry are often measured in radians, where one radian equals the angle subtended by an arc equal in length to the radius of the circle. Knowing how to work with radians is essential for evaluating trigonometric functions like cosine at specific values, including negative angles.
Video consigliato:
Percorso guidato
5:04Converting between Degrees & Radians
Calculator Approximation and Rounding
Calculators provide decimal approximations of trigonometric values, which often need to be rounded to a specified number of decimal places. Rounding to four decimal places means adjusting the value so that only four digits appear after the decimal point, ensuring precision and clarity in the answer.
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Percorso guidato
4:45How to Use a Calculator for Trig Functions
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Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5. r = 29.2 m, θ = 5π/6 radians
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Domanda del libro di testo
Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
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Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
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Find a calculator approximation to four decimal places for each circular function value.
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Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
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