Prove that e²1+²2 e²1e²2 for all 21, 22 € C. Hint: The function ƒ(z) = e²eª-≈ has ƒ' (z) = 0 for any fixed complex number a € C. Use arguments from functions of one variable to show that f is constant (=eª) on C. Show that Show that = cos²z + sin² z = 1, for all z e C. sin(2₁ +22) = sin(z₁) cos(z2) + sin(z2) cos(z₁), for all 2₁, 22 € C.
Prove that e²1+²2 e²1e²2 for all 21, 22 € C. Hint: The function ƒ(z) = e²eª-≈ has ƒ' (z) = 0 for any fixed complex number a € C. Use arguments from functions of one variable to show that f is constant (=eª) on C. Show that Show that = cos²z + sin² z = 1, for all z e C. sin(2₁ +22) = sin(z₁) cos(z2) + sin(z2) cos(z₁), for all 2₁, 22 € C.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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