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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