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} {tan (15π/4)}

= tan^{-1} {tan (4π - π/4)}

We know that tan (2π – θ) = -tan θ

= tan^{-1} (-tan π/4)

= tan^{-1} (-1)

= -π/4

∴ tan^{-1} {tan (15π/4)} = -π/4

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