#### transgalactic

##### Banned

I_s=I_m\cos(\omega +\phi)\\

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[latex]

\tilde{I}=I_me^{j\phi}\\

[/latex]

[latex]

v_s=v_m\cos(\omega +\phi)\\

[/latex]

[latex]

\tilde{v}=v_me^{j\phi}\\

[/latex]

i need to find the representation of this wave

[latex]

v_s=50\sin(10t+\frac{\pi}{4})\\

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[latex]

v_s=50\cos(\frac{\pi}{2}-10t-\frac{\pi}{4})\\

[/latex]

[latex]

v_s=50\cos(-10t+\frac{\pi}{2})\\

[/latex]

so the phasor should look like

[latex]

\tilde{v}=50e^{j\frac{\pi}{2}}\\

[/latex]

why the correct answer is:

[latex]

\tilde{v}=50e^{-j\frac{\pi}{2}}\\

[/latex]