Domain of trigonometric function tan theta: tan theta equal to sin θ / cos θ mathematical means tan θ = sin θ / cos θ Domain of tan θ For all θ ∈ R, but θ ≠ (2n +1) π / 2, n ∈ Z Explanation theta is a part of all real number, but it does not satisfy the values of (2n +1) π / 2, n ∈ Z where Z is a set of integer Example values of Z is a complete numeric number Not a fractional number Example 1, 2, 3 …. Or -1, -2, -3 …….