Graphing SIN and COS functions Name

Graphing SIN and COS functions1. What is the amplitude of y = cos 2x?2. The period of y = 3sin2xis:(1) π (3) 3(2) 2 (4) 4π3. The maximum value of the function y = 3sin2xis:(1) π (3) 3(2) 2 (4) 2π4. Which is the equation of the graph shown below:Name12. The expression13sin 2x reaches its maximum valuewhen x , expressed in radians, equals:π(1) (3) 32(2) 3 2(4) π13. What is the amplitude of the graph whose equation isy = − 4sin2x:(1) π (3) -2(2) 2 (4) 4(1)(2)1y = sin x 2(3)1y = cos x 2(4)1y = sin x21y = cos x214. The graph of which equation has the same amplitude ofthe graph of the equation y = cos x ?(1) y = sin 2x(3) y = 2tanx1(2) y = cos x (4) y = 2sinx215. What is the period of the graph of the equationy = 2sin3x?5. What is the period of the graph of1y = cos 2 x?26. The maximum value of f ( θ ) = 2sin3θis:(1) 1 (3) 3(2) 2 (4) π7. What is the amplitude of the graph of y = 3cos2x?8. The graph of which equation has amplitude of 2 and aperiod of π ?(1) y = 2cos2x(3) y = 2sinx1 1(2) y = sin 2 x (4) y = 2cos x229. What is the minimum value of f ( θ ) in the equation off ( θ ) = 3sin4θ?(1) -1 (3) -3(2) -2 (4) -410. What is the maximum value of y for the equationy = 1+ 3sinx:(1) 1 (3) 3(2) 2 (4) 411. What is the amplitude of the graph of the equationy = 6cos3x?16. The graph of which function has an amplitude of 2and a period of 4π ?11(1) y = 2sin x (3) y = 4sin x22(2) y = 2sin4x(4) y = 4sin2x17. Which is the equation of the graph shown below?1(1) y = 2sin x 2(3) y =1(2) y = sin 2 x2(4) y =12cos 21 cos 2218. a) On the same set of axes, sketch and label the1graphs of y = sin x and y = 2cos x for the values2of x in the interval 0≤ x ≤ 2π.b) State the number of values of x in the interval0≤ x ≤ 2πwhich satisfy the equation1sin x = 2cos x .2xx

19. The graph in the accompanying diagram is a reflectionin the y-axis of the graph of which equation?23. Which equation represents the graph below?(1) y = sin x (3) y = cos x(2) y = sin 2x(4) y = cos 2x(1) y = 2sin2x(3)y =12sin 2x20. Which is an equation of the graph shown below?(2)1y = sin x (4) y = 2cos2x224. Which equation is represented by the graph below?(1) y = sin 2x(3) y =− 2sinx(2) y =− sin 2x(4) y = 2sinx21. Which is an equation of the graph shown below?(1)(2)1y = 2sin x 2(3)1 1y = sin x2 2(4)1y = sin 2 x21y =− cos 2 x225. Graph the equation1y =− 2sin x between the2(1) y = sin 2x(3) y = cos 2x(2) y = 2cosx(4) y = 2sin x22. Which is an equation of the graph shown below?interval 0≤ x ≤ 2π.a) What is the maximum value?b) What is the minimum value?c) Does1− 2sin x increase or decrease in Quad II?226. On the same axes sketch the graphs of y = 3cosxandy = sin 2x.State the number of values of x in the interval0≤ x ≤ 2πwhich satisfy the equation 3cosx= sin2x.(1)1y = cos x (3)21y = sin x 2(2) y = cos 2x(4) y = sin 2x