High School Formulas for the alternating current and voltage

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The discussion centers on the correctness of formulas for current and voltage in sinusoidal functions. The user presents two sets of formulas: v=v0cos(wt) and i=i0cos(wt), questioning their validity compared to the commonly found v=v0sin(wt) and i=i0sin(wt). It is clarified that both sets represent the same sinusoidal function but differ in phase, with the cosine functions leading the sine functions by a phase of π/2. At t=0, the cosine functions yield v=v0 and i=i0, while the sine functions yield v=0 and i=0. Understanding the phase difference is essential for correctly applying these formulas in electrical contexts.
wolly
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Hi,I have found in my textbook the formulas for both current and voltage and I have no idea if they are right or wrong. Can someone help me with these formulas?
v=v0cos(wt)
i=i0cos(wt)
Is this correct? In google when I search for the answers I get something else:
v=v0sin(wt)
i=i0sin(wt)
 
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They are same sinusoidal function with only difference of phase. 
Fot t=0
The former v=v0 i=i0
The latter v=0 i=0
 
Yes if you know abit of trigonometry it is $$\cos(\omega t)=\sin(\omega t+\frac{\pi}{2})=\sin(\omega(t+t_0))$$ where ##t_0=\frac{\pi}{2\omega}## the phase difference in seconds.
 
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