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Question : 51 of 160
Marks:
+1,
-0
Solution:
(‌| 1+cos‌3‌θ+i‌sin‌3‌θ |
| 1+cos‌3‌θ−i‌sin‌3‌θ |
)20 =[‌| 2cos2()+i(2‌sin‌⋅cos‌) |
| 2cos2(‌)−i(2‌sin‌⋅cos‌) |
]20 =‌| 2‌cos()[cos‌+i‌sin‌]20 |
| 2‌cos‌[cos‌−i‌sin(‌)]20 |
=[‌]20=[e2(‌)+i(‌)]20 =[ei(3θ)]20=ei600=cos‌60‌θ+i‌sin‌60‌θ
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