A) \[\operatorname{y}=0.5 \,sin\,\,5\pi t\]
B) \[\operatorname{y}=0.5 \,sin\,\,4\pi t\]
C) \[\operatorname{y}=0.5 \,sin\,\,2.5\,\pi t\]
D) \[\operatorname{y}=0.5 \,\cos \,\,5\pi t\]
Correct Answer: D
Solution :
\[=\,\,a\,\,sin\,\left( \frac{2\pi }{T}t+\phi \right)\] \[\Rightarrow \,\,\,\,y=0.5\,\,\sin \,\left( \frac{2\pi }{0.4}t+\frac{\pi }{2} \right)\] \[=\,\,\,0.5\,\,\sin \,\left( 5\pi \,t+\frac{\pi }{2} \right)\,\,=\,\,0.5\,\,\cos \,\,5\pi t\,\]
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