Inverse Tangent

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πn

arctan(0)

-π/4

tan⁻¹(-1)

π/4 and 5π/4

tan x = 1; 0 ≤ x ≤ 2∏

5π/6 and 11π/6

tan x = -1/√3; 0 ≤ x ≤ 2∏

3π/4 and 7π/4

tan x = -1; 0 ≤ x ≤ 2∏

2π/3 and 5π/3

tan x = -√3; 0 ≤ x ≤ 2∏

0 and π and 2π

tan x = 0; 0 ≤ x ≤ 2∏

π/6 and 7π/6

tan x = 1/√3; 0 ≤ x ≤ 2∏

π/3 and 4π/3

tan x = √3; 0 ≤ x ≤ 2∏

-π/3

tan⁻¹(-√3)

-π/6

tan⁻¹(-√3/3)

0

tan⁻¹(0)

π/4

tan⁻¹(1)

π/3

tan⁻¹(√3)

π/6

tan⁻¹(√3/3)


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