Question
Question: If e<sup>iq</sup> = cos q + i sin q, then for the DABC e<sup>iA</sup> e<sup>iB</sup>e<sup>iC</sup> i...
If eiq = cos q + i sin q, then for the DABC eiA eiBeiC is-
A
I
B
1
C
–1
D
None of these
Answer
–1
Explanation
Solution
Sol. eiA. eiB.eiC = ei(A+B+C) = eip =cos p + i sin p = –1