4. Inverse of the tangent function 24 points a. What is the inverse of y = tan x? Give the equation. b. Sketch both the function and its inverse. Label your graph paper with the appropriate markings. c. What is the domain and range of the inverse Tan Function? d. What are the x-intercepts? e. What is the amplitude? f. What is the period? g. Is there a max and min? h. Is the inverse of y = tan x a function? 5. Solve for x. Find all solutions from 0 to 2x. Show all work as you solve each problem - you may need more space to show your work for each. Remember there may be more than 1 solution for x. 12 points each 2 sinx + 3 =0 b. V3 tanx + 1=0 C. 4 sin x - 1=01. Create a metaphor that illustrates and describes the graph of the Cosine and Sine functions. Explain your metaphor. It's your time to be creative and out of the box. 10 points Example: "My bank account is like a sine function because it goes up and down as I earn and spend money" 2. In general, how do you find the Inverse of a function? 6 points 3. Inverse of a Sine Function a. What is the inverse of y = sin x? Give the equation. b. Sketch both the function and its inverse. Label your graph paper with the appropriate markings. c. What is the domain and range of the inverse Sine Function? d. What are the x-intercepts? B. What is the amplitude? f. What is the period? g. Is there a max and min? h. Is the inverse of y = sin x a function