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Use Euler's identity to (a) show the identities (i) cos(@ + B) =cos(a) cos(B) –- sin(a) sin(B), (ii) sin(a +B)= sin(a) cos(B) + cos(a) sin(B);

Use Euler's identity to (a) show the identities (i) cos(@ + B) =cos(a) cos(B) –- sin(a) sin(B), (ii) sin(a +B)= sin(a) cos(B) + cos(a) sin(B);

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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0.3 Use Euler's identity to (a) show the identities (i) cos(a + B)=cos(@) cos(B) – sin(a) sin(B). (ii) sin(a + B)= sin(a) cos(B) + cos(@) sin(B): (b) find an expression for cos(@) cos(B), and for sin(a) sin(A). Answers: j[sin(a) cos(B) + cos(a) sin(ß)]. =cos(a + 8) + sin(a + B) = [cos(a) cos(B) – sin(a) sin(B)]+
Transcribed Image Text:0.3 Use Euler's identity to (a) show the identities (i) cos(a + B)=cos(@) cos(B) – sin(a) sin(B). (ii) sin(a + B)= sin(a) cos(B) + cos(@) sin(B): (b) find an expression for cos(@) cos(B), and for sin(a) sin(A). Answers: j[sin(a) cos(B) + cos(a) sin(ß)]. =cos(a + 8) + sin(a + B) = [cos(a) cos(B) – sin(a) sin(B)]+
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