Domanda del libro di testo
Find a positive angle less than 2𝜋 that is coterminal with 16𝜋 3
658
views
Ch. 1 - Angles and the Trigonometric Functions
Blitzer3rd EditionTrigonometryISBN: 9780137316601
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
Capitolo 1, Problema 4
In Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 315°
Guida verificata passo dopo passo1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given angle 315° into the formula: \(315 \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{315}{180}\) by finding the greatest common divisor (GCD) of 315 and 180.
Divide both numerator and denominator by the GCD to reduce the fraction to its simplest form.
Express the final answer as a multiple of \(\pi\) using the simplified fraction.
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.
Degree to Radian Conversion
Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply the degree measure by π/180. This conversion is essential because radians are the standard unit in many trigonometric applications.
Video consigliato:
Percorso guidato
5:04
Converting between Degrees & Radians
Understanding π as a Constant
π (pi) is an irrational constant approximately equal to 3.14159, representing the ratio of a circle's circumference to its diameter. Expressing angles as multiples of π provides a precise and standardized way to represent radian measures.
Video consigliato:
Percorso guidato
6:02Stretches and Shrinks of Functions
Simplifying Radicals and Fractions
After converting degrees to radians, the resulting fraction should be simplified to its lowest terms. This involves reducing the numerator and denominator by their greatest common divisor to express the angle neatly as a multiple of π.
Video consigliato:
Percorso guidato
4:02Solving Linear Equations with Fractions
Pratica correlata
Domanda del libro di testo
In Exercises 1–6, the measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. 87.177°
616
views
Domanda del libro di testo
In Exercises 1–8, a point on the terminal side of angle θ is given. Find the exact value of each of the six trigonometric functions of θ. (3, 7)
558
views
Domanda del libro di testo
A point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t.
<IMAGE>
385
views
Domanda del libro di testo
In Exercises 1–8, use the Pythagorean Theorem to find the length of the missing side of each right triangle. Then find the value of each of the six trigonometric functions of θ.
1359
views
Domanda del libro di testo
In Exercises 1–4, a point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t.
1565
views