1.

\(3(cos \frac \pi6 + i \,sin \frac \pi6) = 3e^{i\frac\pi6}\) is equal to

Answer»

\(3(cos \frac \pi6 + i \,sin \frac \pi6) = 3e^{i\frac\pi6}\)   \((\because e^i\theta = cos \theta + i\, sin \theta)\)

or \(3(cos \frac \pi6 + i\, sin \frac \pi 6) = 3 (\frac{\sqrt3}2 + \frac i2)\)

\(= \frac 32 (\sqrt 3 + i)\)



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