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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 13,835

1. Simplify:

2. Prove that

3. Prove that

are real and purely imaginary respectively.

4. If

,prove that

.

5. Find all the values of

(i)

(ii)

(iii) .

6. If

is the complex cube root of unity and if,

show that

(i)

(ii) .

7. If

=1, prove that.

8. If

, prove that.

9. If

, prove that.

10. Solve

Character is who you are when no one is looking.

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