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Question

Question: If C<sup>2</sup> + S<sup>2</sup> = 1, then \(\frac{1 + C + iS}{1 + C - iS}\) is equal to :...

If C2 + S2 = 1, then 1+C+iS1+CiS\frac{1 + C + iS}{1 + C - iS} is equal to :

A

C + iS

B

C – iS

C

S + iC

D

S – iC

Answer

C + iS

Explanation

Solution

Sol. Let Z = C + iS Ž 1/Z = C – iS

Al, 1+C+iS1+CiS=1+Z1+1/Z\frac{1 + C + iS}{1 + C - iS} = \frac{1 + Z}{1 + 1/Z} = Z = C + iS