1.

Write the value of tan-1[tan 3π/4].

Answer»

tan-1[tan3π/4] = tan-1(tan(π-π/4))

= tan-1(tan π/4)

Since tan-1(tanx) = x if x ∈ (-π/2,π/2)

Here π/4 ∈ (-π/2,π/2)

= π/4



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