15.4 Associated Legendre Equation Table 15.3 Associated Legendre Functions P(x) = -(1-x²) 1/2 = - sin P(x)=-3x(1-x2)1/2 = -3 cos 0 sin P2(x)=3(1-x²) = 3 sin²0 P(x)=(5x² - 1)(1-x²)1/2 = -(5 cos² 0 - 1) sin
15.4 Associated Legendre Equation Table 15.3 Associated Legendre Functions P(x) = -(1-x²) 1/2 = - sin P(x)=-3x(1-x2)1/2 = -3 cos 0 sin P2(x)=3(1-x²) = 3 sin²0 P(x)=(5x² - 1)(1-x²)1/2 = -(5 cos² 0 - 1) sin
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Derive the first 4 lines in table 15.3
Transcribed Image Text:15.4 Associated Legendre Equation
Table 15.3 Associated Legendre Functions
P(x) = -(1-x²) ¹/2 = - sin
P₁(x) = -3x (1-x²)¹/2 = -3 cos 0 sin
P²(x) = 3(1-x²) = 3 sin²
P} (x) = − ³ (5x² − 1) (1 - x²)¹/2 = -(5 cos² 0 - 1) sin
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