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Question:
cos(pie/3-Cos^-1(1/2)) solve
Answer:

Given, cos{π/3 - cos-1 (1/2)}

= cos{π/3 - π/3}                       {since cos π/3 = 1/2 }

= cos 0

= 1

So, cos{π/3 - cos-1 (1/2)} = 1

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