Domanda del libro di testo
Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. ―541°
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Ch. 1 - Trigonometric Functions
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 2, Problema 89
Use trigonometric function values of quadrantal angles to evaluate each expression. tan 360° + 4 sin 180° + 5(cos 180°)²
Guida verificata passo dopo passo1
Recall the values of the trigonometric functions at quadrantal angles: \( \tan 360^\circ = 0 \), \( \sin 180^\circ = 0 \), and \( \cos 180^\circ = -1 \).
Substitute these values into the expression: \( \tan 360^\circ + 4 \sin 180^\circ + 5 (\cos 180^\circ)^2 = 0 + 4 \times 0 + 5 \times (-1)^2 \).
Simplify the powers and multiplication: \( 5 \times (-1)^2 = 5 \times 1 = 5 \).
Add all the terms together: \( 0 + 0 + 5 \).
The final step is to sum these values to get the result of the expression.
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Quadrantal Angles
Quadrantal angles are angles that lie on the x- or y-axis in the coordinate plane, typically 0°, 90°, 180°, 270°, and 360°. Their trigonometric function values are special and often simple, such as sine or cosine being 0, ±1. Understanding these values helps evaluate expressions involving these angles directly.
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Percorso guidato
6:36
Quadratic Formula
Trigonometric Function Values at Specific Angles
Knowing the exact sine, cosine, and tangent values at key angles like 180° and 360° is essential. For example, sin 180° = 0, cos 180° = -1, and tan 360° = 0. These values allow substitution into expressions to simplify and evaluate them accurately.
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6:04Introduction to Trigonometric Functions
Evaluating Expressions with Powers and Sums of Trigonometric Functions
When expressions involve powers, such as (cos 180°)², and sums of multiple trigonometric terms, it is important to apply the correct order of operations and substitute values carefully. Squaring a trigonometric value affects the sign and magnitude, influencing the final result.
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3:48Evaluate Composite Functions - Special Cases
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