Ac Circuit Ideal Diode: Find Vout-t

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Homework Statement



http://prntscr.com/51us65
the diode is ideal.What i need to find is the Vout-t

Homework Equations

The Attempt at a Solution


check my solution in pdf and guide me if you can...

***In my approach,in the circuit i forgot to draw the line.It is supposed to be a short circuit,not an open.I just erased the diode and forgot to draw the line.
 

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Well thank you sir.I will take your corrections into account and i will try to understand them.And as i am getting into this unfamiliar field(aka diodes),i will not back out when i have more questions to be answered.