Question
Question: If (1 + i \(\sqrt{3}\) )<sup>300</sup> = a + ib, then a and b is equal to-...
If (1 + i 3 )300 = a + ib, then a and b is equal to-
A
a = 0, b = 1
B
a = 2300,b = 0
C
a = 0 and b = 0
D
None of these
Answer
a = 2300,b = 0
Explanation
Solution
Sol. 2300
= a + ib
2300 (cos (100p) + i sin (100 p)) = a + ib; a = 2300 , b = 0