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Using the following definitions: sin (a) sin² 0 + cos² 0 = 1 (b)(cos) = - sin (c,d) sin(0₁ ± 02₂) sin 0₁ cos 0₂ (e,f) cos(0₁±0₂) = cos 0₁ cos 0₂ = = io -i0 - e 2i cos 0₁ sin 0₂ sin 0₁ sin 02 and cos 0 = = ei+e-, show that е 2

Using the following definitions: sin (a) sin² 0 + cos² 0 = 1 (b)(cos) = - sin (c,d) sin(0₁ ± 02₂) sin 0₁ cos 0₂ (e,f) cos(0₁±0₂) = cos 0₁ cos 0₂ = = io -i0 - e 2i cos 0₁ sin 0₂ sin 0₁ sin 02 and cos 0 = = ei+e-, show that е 2

Advanced Engineering Mathematics
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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Using the following definitions: sin (a) sin²0 + cos² 0 = 1 sin 0 d do (b) (cos 0) = (c,d) sin(0₁0₂) = sin 0₁ cos 0₂ (e,f) cos(0₁±0₂) = cos 0₁ cos 0₂ 1 2 = eio 2i cos 0₁ sin 0₂ sin 0₁ sin 0₂ and cos = eio +e-io 2 9 show that
Transcribed Image Text:Using the following definitions: sin (a) sin²0 + cos² 0 = 1 sin 0 d do (b) (cos 0) = (c,d) sin(0₁0₂) = sin 0₁ cos 0₂ (e,f) cos(0₁±0₂) = cos 0₁ cos 0₂ 1 2 = eio 2i cos 0₁ sin 0₂ sin 0₁ sin 0₂ and cos = eio +e-io 2 9 show that
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