Skip to main content
Ch. 1 - Trigonometric Functions
Lial - Trigonometry 12th Edition
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoLial 12th EditionCh. 1 - Trigonometric FunctionsProblema 100
Capitolo 2, Problema 100

Give two positive and two negative angles that are coterminal with the given quadrantal angle. 270°

Guida verificata passo dopo passo
1
Understand that coterminal angles differ by full rotations of 360°. This means if you add or subtract multiples of 360° to the given angle, you get coterminal angles.
Start with the given angle, which is 270°, a quadrantal angle lying on the negative y-axis.
To find two positive coterminal angles, add 360° and 720° to 270° respectively, using the formula \(\theta + 360^\circ \times n\) where \(n\) is a positive integer.
To find two negative coterminal angles, subtract 360° and 720° from 270° respectively, using the formula \(\theta - 360^\circ \times n\) where \(n\) is a positive integer.
List the resulting angles as your two positive and two negative coterminal angles with 270°.

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:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Coterminal Angles

Coterminal angles are angles that share the same initial and terminal sides but differ by full rotations of 360°. To find coterminal angles, you add or subtract multiples of 360° from the given angle. This concept helps identify angles that have the same trigonometric values.
Video consigliato:
Percorso guidato
04:46
Coterminal Angles

Quadrantal Angles

Quadrantal angles are angles whose terminal sides lie along the x-axis or y-axis, typically at 0°, 90°, 180°, 270°, or 360°. These angles are important because their trigonometric values are often simple or undefined, and they serve as reference points in the coordinate plane.
Video consigliato:
Percorso guidato
6:36
Quadratic Formula

Positive and Negative Angles

Positive angles are measured counterclockwise from the positive x-axis, while negative angles are measured clockwise. Understanding this distinction is essential when finding coterminal angles, as you can add or subtract 360° to generate both positive and negative coterminal angles.
Video consigliato:
Percorso guidato
05:50
Drawing Angles in Standard Position
Pratica correlata
Domanda del libro di testo

Give two positive and two negative angles that are coterminal with the given quadrantal angle. 0°

907
views
Domanda del libro di testo

Concept Check Suppose that ―90° < θ < 90° .   Find the sign of each function value. sec θ/2

556
views
Domanda del libro di testo

If n is an integer, n • 180° represents an integer multiple of 180°, (2n + 1) • 90° represents an odd integer multiple of 90° , and so on. Determine whether each expression is equal to 0, 1, or ―1, or is undefined. sin[n • 180°]

591
views
Domanda del libro di testo

Concept Check Suppose that ―90° < θ < 90° . Find the sign of each function value.

sec(―θ)

531
views
Domanda del libro di testo

Write an expression that generates all angles coterminal with each angle. Let n represent any integer. 135°

572
views
Domanda del libro di testo

If n is an integer, n • 180° represents an integer multiple of 180°, (2n + 1) • 90° represents an odd integer multiple of 90° , and so on. Determine whether each expression is equal to 0, 1, or ―1, or is undefined. sin[270° + n • 360°]

604
views