1) For each of the following functions, determine: the period the amplitude, if any one pair...
For each defined function, give the amplitude (A), period (P), vertical translation (V), and phase shift (PS), as applicable. Explain your reasoning. y = 4 + 4 cos( 08(0 - 5) Amplitude= 4, Period = 27, Vertical: 4 (up), Phase Shift: A (right) Amplitude= 4, Period = 7, Vertical: 4 (down), Phase Shift: (left) Amplitude= 4, Period = 277, Vertical: 4 (up), Phase Shift: none Amplitude , Period = 27, Vertical: 4 (up), Phase Shift: (left)
Math 37 7/20/10 Name 1. (5 Points) Show all work to determine cos(172), without the aid of a calculator 2. (5 Points) Show all work to determine sin ). without the aid of a calculator 3. (5 Points) Show all work to determine tan(-) Math 37 7/20/10 4. (5 Points) Show all work to determine csc(-) 5. (5 Points) Show all work to determine sec(-420°) 6. (5 Points) Show all work to determine cot(495) Math 37 7/20/10 Name 7. (10...
1. Find the amplitude, period, midline, phase shift and graph over one period the following function: f(x) = 5cos(2x − π). (Please don’t use a calculator, include details on the graph (points on both axes)) 2. Use the fundamental identities to fully simplify the expression: csc(x) + cos(x)cot(−x)
For the functions in questions 7-12, find the indicated values. 7. y - Acos(B(x -3) +4 (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift 2TX 3 (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift -3cos|2|x- 1+0.4 10. У (a) Amplitude (b) Period (c) Phase Shift (d) Vertical Shift 11. y 2cot(3x) (a) Period (b) Domain (c) Range (d) Zeros (e) Asymptotes y-csc(-1x) 12. (a) Period (b)...
answer all please 6. Find the amplitude of each function below- if no amplitude exists, write NA. a) y sinx b) y = - 3 cos (x) c) y = 2 tan (x) 7. Which of these functions is considered to be an odd function. a) y = cos(x) b) y =tan(x) c) y = sec (x) 8. Give me one value x with 0<x< 2 so that the following function is undefined at that angle. a) y = tan...
1. Graph one period of the given functions below. You must use radian measure to graph and have numerical scales on both axes. Indicate any vertical asymptotes as dashed lines. Proper labeling is required for full points. a. y = 3 sin(2x – ) - 3 b. y = sec(2x + 1) c. y = tan(2x)
UW GROW 3. The secondary trigonometric ratios (cosecant, secant and cotangent) are defined as the inverses of the primary functions: 1 1 csc(x) = sec(x) = 1 sin(x) cos(x) cot(x) = tan(x) Graph the three inverse functions using Desmos online graphing calculator. For each of the graphs of cosecant, secant, and cotangent, desc maxima, minima, period, zeros, and asymptotes if any.
11. Graph each of the given functions in the indicated interval by first finding the amplitude, the period and the phase shift. 11. Graph each of the given functions in the indicated interval by first finding the amplitude, the period and the phase shift. 11. Graph each of the given functions in the indicated interval by first finding the amplitude, the period and the phase shift. TT (d) y=-sinx x-1) interval: SX 51 2 2
1. Consider function y=3+cs . Find a) Period -TT b) Horizontal shift c) Range d) Asymptotes 2. Consider function y=-1+2 tan . Find a) Period b) Horizontal shift c) Vertical Shift d) Asymptotes
Determine the amplitude, period, and phase shift of the function Graph the function y - 2 sin(4x - x) The amplitude is (Simplify your answer.) The periodis (type an exact answer, using as needed. Use integers or tractions for any numbers in the expression) The phase shift is (Type an exact answer, using as needed Use integers or fractions for any numbers in the expression) Use the graphing tool to graph the function Click to - enlarge graph (For any...