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Plsss give me the answer with steps easily understanding thanks in advance

Plsss give me the answer with steps easily understanding thanks in advance

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Grade:12th pass

2 Answers

Saurabh
8 Points
5 years ago
10 × e^i(75-30)10 × e^i(45)10 × (cos(45) + sin(45)i)10/√2 × (1+i)Sorry, I am new around here, I couldn`t find any option to attach the solution from my device
Samyak Jain
333 Points
5 years ago
To find : value of {2(cos75\degree  + i sin75\degree)} \slash {0.2(cos30\degree  + i sin30\degree )}
Sol: {2(cos75\degree  + i sin75\degree)} \slash {0.2(cos30\degree  + i sin30\degree )} 
         = {2(cos5\pi/12  + i sin5\pi/12)} \slash {0.2(cos\pi/6  + i sin\pi/6 )}
         = (2 ei 5\pi/12 ) \slash (0.2 ei \pi/6 )
         = (2/0.2) * {ei (5\pi/12) – (\pi/6) }  =  10 ( ei (5\pi – 2\pi)/12  =  10 e i ( 3\pi)/12 
         = 10 ei\pi/4   =  10 (cos\pi/4  + i sin\pi/4 )
         = 10 {(1/\sqrt{}2) + i (1/\sqrt{}2)}
         =  10 (1+i) \slash\sqrt{}2

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