Write the value of tan-1{tan (\(\frac{15\pi}4\))}. – InterviewSolution

1.

Write the value of tan-1{tan (\(\frac{15\pi}4\))}.

Answer»

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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