For sin 2x + cos x = 0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation in the interval [0, 27). The answer is 21 = Preview , T2 = Preview 13 = Preview and 24 = Preview with Il < 22 23 24.
Use an Addition or Subtraction Formula to simplify the equation. sin(30) cos(6) – cos(30) sin(0) = 1 ha Find all solutions in the interval [0, 211). (Enter your answers as a comma-separated list.) 0 Need Help? Read it Talk to Tutor
(4 points) 17. Solve the equation on the interval [0, 2x) cos 3x cos 3x + sin 3x sin 3x (6 points) 11. Use the Addition or Subtraction Formula only to find the exact value of the expression. Again, you must show your work to receive credit. a) cos b) sin 105
You are given that yh = c1 cos(3x) +c2 sin(3x) is the general solution to the homogeneous differential equation y 00 + 9y = 0 (a) In each case below, write down your “guess” for the form of the particular solution to the differential equation. y 00 + 9y = f(x) Question 6. (Total marks: 14) You are given that y = cos(3x) + sin(3.c) is the general solution to the homogeneous differential equation y" +9y = 0 (a) In...
Find all solutions of the equation in the interval [0, 21). sin 0(2 cos 0 - /3)=0 Write your answer in radians in terms of n.
Question 9 Find all solutions to the equation in the interval [0, 2n). sin 2x - sin 4x = 0 Your answer: O O 51 71 I, 31 111 z' ' ä 'ö' ' ő 31 1171 Oo, ma Clear answer Question 10 Find all solutions to the equation in the interval [0, 21). cos 4x - cos 2x = 0 Your answer: o o, 110 TT 51 71 31 6' 2' O No solution Clear answer Question 11 Rewrite...
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
Use the given equation to answer the following questions. 3 sin(.) = 5 cos(r) (a) Find all solutions of the equation. (Enter each answer in the form 0 + tek, 0 = 0 < 21. If there are any unused answer boxes, enter NONE in the last boxes.) 1.03038 + ak (smaller 8-value) 1.03038 + uk none (larger 6-value) (b) Use a calculator to solve the equation in the interval [0, 21). Round your answers to five decimal places. (If...
QA: Pick two of the following functions: sin(3x)*sin(2x) cos(3x)*sin(2x) cos(3x)*sin(1x) cos(3x)*cos(2x) Find the integral of those functions from x= -pi to pi Show all work. hint : graph & use symmetry.
Use an addition or subtraction formula to write cos 41° cos 44º – sin 41 ºsin 44 as a trigonometric function of one number. You must enter your answer as a degree converted to radians. In otherwords, if your answer is sin(2°), then you must enter sin(2*pi/180)