01 0₁ +02) = cos 0₁ cc

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Proove the following problem using complex numbers

The formula shown is a trigonometric identity known as the Cosine Addition Formula. It is expressed as:

\[
\cos(\theta_1 + \theta_2) = \cos \theta_1 \cos \theta_2 - \sin \theta_1 \sin \theta_2
\]

This identity allows the calculation of the cosine of the sum of two angles (\(\theta_1\) and \(\theta_2\)) in terms of the cosines and sines of the individual angles.
Transcribed Image Text:The formula shown is a trigonometric identity known as the Cosine Addition Formula. It is expressed as: \[ \cos(\theta_1 + \theta_2) = \cos \theta_1 \cos \theta_2 - \sin \theta_1 \sin \theta_2 \] This identity allows the calculation of the cosine of the sum of two angles (\(\theta_1\) and \(\theta_2\)) in terms of the cosines and sines of the individual angles.
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