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Simplify tan⁻¹(tan 3π/4) on the principal branch.
A-π/4
B3π/4
Cπ/4
D-3π/4
Answer & Solution
Correct answer: A. -π/4
tan(3π/4) = -1, and the principal value of tan⁻¹(-1) is -π/4 because 3π/4 lies outside (-π/2, π/2).
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