Question Text
Question 1 :
The complex number system, denoted by $C$, is the set of all ordered pairs of real numbers (that is, $R \times R$) with the operation (denoted by $\times$) which satisfy multiplication
Question 2 :
The complex number system, denoted by $C$, is the set of all ordered pairs of real numbers (that is, $R \times R$) with the operations of addition (denoted by $+$) which satisfy
Question 4 :
$\displaystyle \frac{\displaystyle i^{4n + 3} + (-i)^{8n - 3}}{\displaystyle(i)^{12 n- 1} - i^{2 - 16 n}}, n \varepsilon N$ is equal to
Question 5 :
Evaluate:${ \left( \dfrac { 1+\cos { \dfrac { \pi  }{ 6 } -i\sin { \dfrac { \pi  }{ 6 }  }  }  }{ 1+\cos { \dfrac { \pi  }{ 6 } +i\sin { \dfrac { \pi  }{ 6 }  }  }  }  \right)  }^{ 6 }$<br/>
