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# Trig Domain and R

### Trig Graphs and Domain & Range and inverse

sin θ Domain All Real Number
Sin θ Range {y∣-1≤y≤1}
Cos θ Domain All Real Number
Cos θ Range {y∣-1≤y≤1}
Tan θ Domain {θ∣θ≠-3π/2,-π/2,π/2,3π/2
Tan θ Range All Real number
Sec θ Domain {θ∣θ≠-3π/2,-π/2,π/2,3π/2}
Sec θ Range {y∣-1≤ or y≥1}
Csc θ Domain {θ∣θ≠-2π,-π,0,π,2π}
Csc θ Range {y∣-1≤ or y≥1}
Cot θ Domain {θ∣θ≠-2π,-π,0,π,2π}
Cot θ Range All Real Number
〖Sin〗^(−1) Domain -1≤x≤1
〖Sin〗^(−1) Range -π/2≤〖Sin〗^(−1)x ≤ π/2
〖Cos〗^(−1) Domain -1≤x≤1
〖Cos〗^(−1) Range 0≤〖Cos〗^(−1)x ≤ π
〖Tan〗^(−1) Domain -∞"＜x＜"∞
〖Tan〗^(−1) Range -π/2≤〖Tan〗^(−1)x ≤ π/2
〖Csc〗^(−1) Doain {-∞＜x≤-1}U{1≤x＜∞}
〖Csc〗^(−1) Range -π/2≤〖Csc〗^(−1)x ≤ π/2,〖Csc〗^(−1)x≠θ
〖Sec〗^(−1) Domain {-∞＜x≤-1}U{1≤x＜∞}
〖Sec〗^(−1) Range 0≤〖Sec〗^(−1)x ≤ π,〖Sec〗^(−1)x≠ π/2
〖Cot〗^(−1) Domain -∞＜x＜∞,x ≠ 0
〖Cot〗^(−1) Range -π/2＜〖Cot〗^(−1)x＜ π/2,〖Cot〗^(−1)x≠θ
Created by: Blackspeed