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16 terms

Tangent

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tan(π/6)
1/√3
tan(π/4)
1
tan(π/3)
√3
tan(π/2)
undefined
tan(2π/3)
-√3
tan(3π/4)
-1
tan(5π/6)
-1/√3
tan(π)
0
tan(2π)
0
tan(11π/6)
-1/√3
tan(7π/4)
-1
tan(5π/3)
-√3
tan(3π/2)
undefined
tan(4π/3)
√3
tan(5π/4)
1
tan(7π/6)
1/√3