Domanda del libro di testo
Find a value of θ in the interval [0°, 90°) that satisfies each statement. Give answers in decimal degrees to six decimal places. See Example 2. cot θ = 0.21563481
789
views
Ch. 2 - Acute Angles and Right Triangles
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
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 3, Problema 2.3.11
Use a calculator to approximate the value of each expression. Give answers to six decimal places. In Exercises 21–28, simplify the expression before using the calculator. See Example 1.
sin 38° 42'
Guida verificata passo dopo passo1
First, convert the angle given in degrees and minutes to a decimal degree format. Recall that 1 minute is equal to \( \frac{1}{60} \) degrees. So, convert 42 minutes to degrees by calculating \( 42 \times \frac{1}{60} \).
Add the decimal degree value from the minutes to the whole degrees to get the total angle in decimal degrees: \( 38 + \text{(decimal from minutes)} \).
Use the sine function on your calculator with the angle in decimal degrees. Make sure your calculator is set to degree mode, not radians.
Calculate \( \sin(\text{decimal degrees}) \) using the calculator.
Round the result to six decimal places as requested.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
2mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Angle Measurement in Degrees and Minutes
Angles can be expressed in degrees, minutes, and seconds, where 1 degree equals 60 minutes. To use a calculator, convert the angle from degrees and minutes to a decimal degree by dividing the minutes by 60 and adding to the degrees. For example, 38° 42' equals 38 + 42/60 = 38.7 degrees.
Video consigliato:
Percorso guidato
5:31
Reference Angles on the Unit Circle
Using the Sine Function on a Calculator
The sine function relates an angle in a right triangle to the ratio of the opposite side over the hypotenuse. Calculators compute sine values using the angle in degrees or radians, so ensure the calculator is set to degree mode when inputting angles in degrees. This allows accurate evaluation of sin(38.7°).
Video consigliato:
Percorso guidato
4:45How to Use a Calculator for Trig Functions
Rounding and Precision in Calculations
When approximating trigonometric values, it is important to round the result to the specified number of decimal places for consistency and clarity. Here, answers should be rounded to six decimal places, which means keeping six digits after the decimal point, ensuring precision in the final answer.
Video consigliato:
Percorso guidato
4:45How to Use a Calculator for Trig Functions
Pratica correlata
Domanda del libro di testo
Concept Check The two methods of expressing bearing can be interpreted using a rectangular coordinate system. Suppose that an observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at each point. Express the bearing using both methods. (2, 2)
790
views
Domanda del libro di testo
Solve each problem. See Examples 1 and 2. Distance between Two Cities The bearing from Atlanta to Macon is S 27° E, and the bearing from Macon to Augusta is N 63° E. An automobile traveling at 62 mph needs 1¼ hr to go from Atlanta to Macon and 1¾ hr to go from Macon to Augusta. Find the distance from Atlanta to Augusta.
817
views
Domanda del libro di testo
Use a calculator to approximate the value of each expression. Give answers to six decimal places. In Exercises 21–28, simplify the expression before using the calculator. See Example 1.
cos(90°-3.69°)
671
views
Domanda del libro di testo
Concept Check The two methods of expressing bearing can be interpreted using a rectangular coordinate system. Suppose that an observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at each point. Express the bearing using both methods. (-3, -3)
772
views
Domanda del libro di testo
Find two angles in the interval [0°, 360°) that satisfy each of the following. Round answers to the nearest degree. tan θ = 0.70020753
621
views