Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
Write the value of 
.
Given tan-1 {2 sin (2 cos-1 √3/2)}
= tan-1 {2 sin (2 cos-1 cos π/6)}
= tan-1 {2 sin (2 × π/6)}
= tan-1 {2 sin (π/3)}
= tan-1 {2 × √3/2}
= tan-1 {√3}
= π/3
∴ tan-1 {2 sin (2 cos-1 √3/2)} = π/3
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