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+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+C+iS=1+1/Z1+Z = Z = C + iS