IMO 1969 LL BEL6

Evaluate (cos(\pi/4) + i sin(\pi/4))10 in two different ways and

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IMO 1969 LL BEL6

Origin: BEL

Problem

Evaluate (cos(\pi/4) + i sin(\pi/4))10 in two different ways and prove that 10  − 10 

  • 1 10  = 24.