Find the domain and range of 1/1-cosx. Share with your friends Share 2 Mayank Jha answered this Dear student, The given function is: 11 - cos(x)All the values that goes into the function is called its domain.So, to find the domain(1 - cos(x)) > 02nπ < x < 2π(n + 1)Hence, domain of the function is:{x ∈ℝ: 2nπ < x< 2π(n + 1) and n ∈ℤ}In order to find the range, we need to calculate inverse of this function.y = 11 - cos(x)⇒y - ycos(x) = 1⇒cos(x) = y - 1yThe value od cos(x) should lie between -1 and 1So, 1 ≥y - 1y≥-1⇒y ≥(y - 1) ≥-y⇒0 ≥-1≥-2y⇒2y≥1∴Range = {y∈ℝ: 2y≥1} Regards 11 View Full Answer
