1-The graph of a sine function with a positive coefficient is shown in the figure. (a) Find the amplitude, period, and phase shift. (The phase shift is the first negative zero that occurs before a maximum.) amplitude period phase shift (b) Write the equation in the form y = a sin(bx + c) for a > 0, b > 0, and the least positive real number c. 2-The graph of a sine function with a positive coefficient is shown in the figure. (a) Find the amplitude, period, and phase shift. (The phase shift is the first negative zero that occurs before a maximum.) amplitude period phase shift (b) Write the equation in the form y = a sin(bx + c) for a > 0, b > 0, and the least positive real number c. 3-The graph of a sine function with a positive coefficient is shown in the figure. (a) Find the amplitude, period, and phase shift. (The phase shift is the first negative zero that occurs before a maximum.) amplitude period phase shift (b) Write the equation in the form y = a sin(bx + c) for a > 0, b > 0, and the least positive real number c. 4-Find the period. y = 12 tan x Sketch the graph of the equation. Show the asymptotes. 5-Find the period. y = 4 cot x Sketch the graph of the equation. Show the asymptotes. 6-Find the period. y= 1 2 sec x Sketch the graph of the equation. Show the asymptotes. 7-Find the period. y = 9 tan x 4 Sketch the graph of the equation. Show the asymptotes. 8-Find the period. y = tan 2x Sketch the graph of the equation. Show the asymptotes. 9-Find the period. y = tan 1 3 x Sketch the graph of the equation. Show the asymptotes. 10-Find the period. y = 10 tan 10x + 10 Sketch the graph of the equation. Show the asymptotes. 11-Find the period. y= 1 5 tan 1 2 7 x+ Sketch the graph of the equation. Show the asymptotes. 12-Find the period. y = cot 1 6 x Sketch the graph of the equation. Show the asymptotes. 13-Find the period. y = 2 cot 2x + 2 Sketch the graph of the equation. Show the asymptotes. 14-Find the period. y = sec x+ 2 Sketch the graph of the equation. Show the asymptotes. 15-Find the period. y = sec 4x Sketch the graph of the equation. Show the asymptotes. 16-Find the period. y = 4 sec 4x 4 Sketch the graph of the equation. Show the asymptotes. 17-Find the period. y = csc x 2 Sketch the graph of the equation. Show the asymptotes. 18-Find the period. y = csc x Sketch the graph of the equation. Show the asymptotes. 19-Find the period. y= 1 7 csc 1 6 x+ 6 Sketch the graph of the equation. Show the asymptotes. 20-Use the graph of a trigonometric function to aid in sketching the graph of the equation without plotting points. y = 6|sin x| 21-Use the graph of a trigonometric function to aid in sketching the graph of the equation without plotting points. y = 9|cos x| 22.Use the graph of a trigonometric function to aid in sketching the graph of the equation without plotting points. y = 4|sin x| + 8 22-Find the period of the function. 23-Find the phase shift of _______________ 24-In the graph of the following function, there is a vertical asymptote at the y-axis. What is the equation of the next successive vertical asymptote