Domanda del libro di testo
Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 275.1005°
957
views
Ch. 1 - Trigonometric Functions
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 2, Problema 10
CONCEPT PREVIEW The terminal side of an angle θ in standard position passes through the point (― 3,― I3) Use the figure to find the following values. Rationalize denominators when applicable. tan θ
Guida verificata passo dopo passo1
Identify the coordinates of the point through which the terminal side of the angle \( \theta \) passes. Here, the point is \( (-3, -\sqrt{3}) \).
Recall that \( \tan \theta = \frac{y}{x} \), where \( x \) and \( y \) are the coordinates of the point on the terminal side of the angle.
Substitute the values of \( x = -3 \) and \( y = -\sqrt{3} \) into the tangent formula: \( \tan \theta = \frac{-\sqrt{3}}{-3} \).
Simplify the fraction by dividing numerator and denominator, and then rationalize the denominator if necessary.
Express the final simplified form of \( \tan \theta \) with a rationalized denominator.
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:
1mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Standard Position of an Angle
An angle is in standard position when its vertex is at the origin and its initial side lies along the positive x-axis. The terminal side is the ray that rotates from the initial side to form the angle θ. Understanding this helps locate the angle based on a point through which its terminal side passes.
Video consigliato:
Percorso guidato
05:50
Drawing Angles in Standard Position
Coordinates and Trigonometric Ratios
The coordinates (x, y) of a point on the terminal side of an angle can be used to find trigonometric ratios. Specifically, tan θ is the ratio of y to x (tan θ = y/x). Knowing the point allows direct calculation of tangent and other trigonometric functions.
Video consigliato:
Percorso guidato
05:32Intro to Polar Coordinates
Rationalizing Denominators
Rationalizing the denominator involves eliminating any square roots or irrational numbers from the denominator of a fraction. This is done by multiplying numerator and denominator by a suitable expression, making the expression simpler and more standardized in trigonometry answers.
Video consigliato:
Percorso guidato
2:58Rationalizing Denominators
Pratica correlata
Domanda del libro di testo
Find the measure of each marked angle.
870
views
Domanda del libro di testo
CONCEPT PREVIEW Determine whether each statement is possible or impossible. sin² θ + cos² θ = 2
799
views
Domanda del libro di testo
Find the measure of (a) the complement and (b) the supplement of an angle with the given measure. See Examples 1 and 3. 30°
753
views
Domanda del libro di testo
CONCEPT PREVIEW Name the corresponding angles and the corresponding sides of each pair of similar triangles. (HK is parallel to EF.)
707
views
Domanda del libro di testo
Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .
724
views