Math 37 7/20/10 Name 1. (5 Points) Show all work to determine cos(172), without the aid...
1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if there are any at all) the phase (horizontal) shift, saying by how many units and whether to the right or to the left 3 cos 4x a) b) cot (x-) c) sec (x+ 1) d) 1+3 tan mx 1) For each of the following functions, determine: the period the amplitude, if any one pair of successive vertical asymptotes (if...
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
please show all work. Thanks in advance :) To determine the 5 key points, you want to determine the x-coordinates of each quarter period. For exam sin(Bx + C), you want to set Bx + C equal to ple, to graph a function in the form y 0巨,T,T, and 2π to determine the new x-coordinates that you will use in your graphs. ch a detailed graph for each of the following functions. Graph at least one full period, indicating the...
Q4.1 OPTION A 10 Points Compute tan sin Note: Your answer will be an expression in terms of x. "Magic formulas" not taught in this class are not allowed for this problem. Please select file(s) Select file(s) Q4.2 OPTION B 10 Points Let a and ß be two acute angles in Quadrant I such that 5 tan(a) = and 12 sec(B) = 17 8 Calculate sin(a - 28). i) Find the amplitude, period, phase shift, and midline of the trigonometric...
PLEASE SHOW WORK!!!!! 6) List the 5 key points for each of the following steps 9 if the step is not applicable, just write none), then graph the function, including 2 full periods, be sure to label the axis. y= 2+cos(x+1) Original Points: Amplitude: Period and endpoints: Reflection: Vertical Shift: Graph: 7) Graph the function for 2 full periods. Be sure to show and label the vertical asymptotes as well as the x-intercepts. F(x) = 4 tan (2x) 8) Evaluate...
7. Graph one complete cycle of the following function. Label the axes and all points you graph. Identify the amplitude, period, increment, vertical translation, and phase shift for the function. 2x A= P= VT = PS = Stunt@hose shit+ x 31 22 Give me the max and min points (label them) and the points of inflection (label them) in ordered pair format: Free Response Perform the indicated operation and write the answer in the form a + bi, where a...
(10 points) First, determine the quadrant for 2; then find x, y, and r; and finally, give all six trigonometric ratios for a given the following information: csc(0) = 1 and cos(0) < 0 e lives in quadrant • X= • y = 1. sin(O) = 2. cos(0) = 3. tan(O) = 4. sec(0) = 5. csc(0) = 6. cot(0) =
Problem 7 If A cos 0,+B sin oft = rsin(0 -0) = R cos(t-8), (a) determiner and in terms of A and B , and (b) the relationship among R,r, 8 and 2 Ans. (a) r = VA’ + Bº, tan 0 4 b)r=R, 0 = 8-5, tan tan 8 +1 = 0 Problem 8 (a) Define the steady state solution of a given SLDE. (b) Consider the motion of a 2-kg mass in a (m,c,k)-system under a cyclic load....
show all work! with formulas! 2. (25 pts) A 5 pound mass is hanging from a spring attached to the ceiling. Initially, the mass is at rest. The mass is pushed upwards 10 inches compressing the spring and then let go. The mass undergoes simple (undamped) harmonic motion. It takes 3 seconds for the mass to go from its highest point (where it was let go), to its lowest point (where the spring is fully stretched out). a. Develop a...
attempted, please help! OnCALTOA 9. (12pts) Find all the trig function values for each angle. cost=-3/5, with tan 1<0 a. sin6--3/5 and tan 0--3/ b. CSC sece cos sec / tan3 cot cot 10(4pts)Find the exact value of sin (tan- OnCALTOA 9. (12pts) Find all the trig function values for each angle. cost=-3/5, with tan 1