Choose the correct reduction 5 sin(wt) +5 cos(wt + 30) +5 cos(wt + 150 ) to the form Vm COS(wt + 0). 5 sin(wt) + 5 cos(wt +30°) + 5 cos(wt + 150°) = 0 O 5 sin(wt) + 5 cos(ut + 30°) + 5 cos(wt + 150°) = 5 cos(wt) O 5 sin(wt) + 5cos(wt + 30°) + 5 cos(wt + 150°) = 5 cos(wt + 60°) O 5 sin(wt) +5 cos(wt + 30°) + 5 cos(wt + 150°) = 5 cos(wt + 90°) Submit Request Answer

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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**Part A**

Choose the correct reduction \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ)\) to the form \(V_m \cos(\omega t + \theta)\).

Options:

- \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 0\)
- \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 5 \cos(\omega t)\)
- \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 5 \cos(\omega t + 60^\circ)\)
- \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 5 \cos(\omega t + 90^\circ)\)

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- **Submit**
- **Request Answer**
Transcribed Image Text:**Part A** Choose the correct reduction \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ)\) to the form \(V_m \cos(\omega t + \theta)\). Options: - \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 0\) - \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 5 \cos(\omega t)\) - \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 5 \cos(\omega t + 60^\circ)\) - \(5 \sin(\omega t) + 5 \cos(\omega t + 30^\circ) + 5 \cos(\omega t + 150^\circ) = 5 \cos(\omega t + 90^\circ)\) Buttons: - **Submit** - **Request Answer**
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