A) 8
B) -4
C) 4
D) \[4\sqrt{2}\]
Correct Answer: D
Solution :
\[x=4(\cos \pi t+\sin \pi t)\] \[=4\sqrt{2}\left\{ \frac{1}{\sqrt{2}}\cos \pi t+\frac{1}{2}\sin \pi t \right\}\] \[=4\sqrt{2}\{\sin {{45}^{o}}{{C}_{\cos }}\pi t+\cos {{45}^{o}}\sin \pi t\}\] \[=4\sqrt{2}\{\sin (\pi t+{{45}^{o}})\}\] \[\therefore \]\[\text{Amplitude}=4\sqrt{2}.\] Hence, the correction option is [d].You need to login to perform this action.
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