Quick questions on Inverse trigonometric (circular) functions (WACE Year 12 Mathematics Specialist Unit 3)

Q: What is wrong sign branch for arctan?

Tangent is odd, so tan^-1(-x) = -tan^-1(x); keep the result in (-π2, π2).

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What is wrong sign branch for arctan?

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Tangent is odd, so

\tan^{-1}(-x) = -\tan^{-1}(x)

; keep the result in

(-\tfrac{\pi}{2}, \tfrac{\pi}{2})

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