1) Find all the solutions of the equation in the interval (0,2pi). sin 2x = -sqrt3/2 I know that the angles are 4pi/3 and 5pi/3 and then since it is sin I add 2npi to them. 2x = 4pi/6 +

152,909 results

  1. Pre-Cal(Please check)

    1) Find all the solutions of the equation in the interval (0,2pi). sin 2x = -sqrt3/2 I know that the angles are 4pi/3 and 5pi/3 and then since it is sin I add 2npi to them. 2x = 4pi/6 + 2npi 2x = 5pi/3 + 2npi Now I know that I have to divide by 2 but that is where I an not ...
  2. Pre-Cal(Please check)

    1) Find all the solutions of the equation in the interval (0,2pi). sin 2x = -sqrt3/2 I know that the angles are 4pi/3 and 5pi/3 and then since it is sin I add 2npi to them. 2x = 4pi/6 + 2npi 2x = 5pi/3 + 2npi Now I know that I have to divide by 2 but that is where I an not ...
  3. Pre-Cal (Please help)

    Find all the soultions of the equation in the interval (0,2pi) sin 2x = -sqrt3 /2 sin -sqrt3 /2 is 4pi/3 and 5pi/3 in the unit circle 2x= 4pi/3 + 2npi 2x=5pi/3 + 2npi I do not know what to do at this point
  4. Pre-Cal

    Find all the soultions of the equation in the interval (0,2pi) sin 2x = -sqrt3 /2 sin -sqrt3 /2 is 4pi/3 and 5pi/3 in the unit circle 2x= 4pi/3 + 2npi 2x=5pi/3 + 2npi I do not know what to do at this point.
  5. Math

    1. On the interval [0, 2pi] what are the solutions to the equation sin3xcos2x = -cos3xsin2x + 1? pi/10 and pi/2? 2. What is the value of tan75degrees? √(3) + 1)/(1 - √(3))? 3. Value of cos(130degrees)cos(130degrees) + sin(10degrees)sin(10degrees)? Not sure 4. On ...
  6. Trig

    Find all solutions in the interval [0,2pi) 4sin(x)cos(x)=1 2(2sinxcosx)=1 2sin2x=1 2x=1/2 x= pi/6, and 5pi/6 Then since its 2x i divided these answers by 2 and got pi/12 and 5pi/12 However, when i checked the answer key there solutions 13pi/12 and 17pi/12 were included ...
  7. Precalculus check answers help!

    1. Which expression is equivalent to cos 2theta for all values of theta ? cos^2 theta – sin^2 theta ~ cos^2 theta – 1 1 – 2 sin^2 theta 2 sin theta cos theta 2. Use a half–angle identity to find the exact value of sin 105°. -1/2(sqrt)(2 + Sqrt3) 1/2(sqrt)(2 + Sqrt3...
  8. Pre-Cal

    Find all the solutions of the equation in the interval (0,2pip) sin(x + pi/6) - sin(x -pi/6) = 1/2 I am only stuck on the last part. I have 2sinx(sqrt3/2) = 1/2 Does the 2 cancel out with the sqrt 3/2. I am not sure what to do.
  9. Pre-Cal(Please check)

    Approximate the equation's solutions in the interval (0,2pi) sin2x sinx = cosx 2cos(x) (1/2-sin^2x) = 0 Then I got 3pi/2, pi/2, pi/6 and 5pi/6 Then I substituted 0-3 and got 3pi/2 , 5pi/2 , 9pi/2 , pi/2, pi/6, 7pi/6, 13pi/6 , 19pi/6 , 5pi/6 , 11pi/6 , 17pi/6 and 23pi/6. My ...
  10. Trigonometry

    Solve the equation for solutions in the interval 0<=theta<2pi Problem 1. 3cot^2-4csc=1 My attempt: 3(cos^2/sin^2)-4/sin=1 3(cos^2/sin^2) - 4sin/sin^2 = 1 3cos^2 -4sin =sin^2 3cos^2-(1-cos^2) =4sin 4cos^2 -1 =4sin Cos^2 - sin=1/4 (1-sin^2) - sin =1/4 -Sin^2 - sin =-3/4 ...
  11. Pre-Calc

    Find all solutions of the equation in the interval [0, 2pi). Show all work. sin(x+(pi/6))-sin(x-((pi/6))=1/2
  12. Pre-Cal(Urgent!!)

    Find all the solutions of the equation in the interval (0,2pip) sin(x + pi/6) - sin(x -pi/6) = 1/2 I am only stuck on the last part. I have 2sinx(sqrt3/2) = 1/2 Does the 2 cancel out with the sqrt 3/2. I am not sure what to do.
  13. math

    Find all solutions to the equation tan(t)=1/tan (t) in the interval 0<t<2pi. Solve the equation in the interval [0, 2pi]. The answer must be a multiple of pi 2sin(t)cos(t) + sin(t) -2cos(t)-1=0 Find all solutions of the equation 2cos3x=1
  14. Trigonometry

    Find all solutions of 4(sin(x)**2)-8cos (x) -8 = 0 in the interval (2pi, 4pi). (Leave your answers in exact form and enter them as a comma-separated list.)
  15. Math

    3. find the four angles that define the fourth root of z1=1+ sqrt3*i z = 2 * (1/2 + i * sqrt(3)/2) z = 2 * (cos(pi/3 + 2pi * k) + i * sin(pi/3 + 2pi * k)) z = 2 * (cos((pi/3) * (1 + 6k)) + i * sin((pi/3) * (1 + 6k))) z^(1/4) = 2^(1/4) * (cos((pi/12) * (1 + 6k)) + i * sin((pi/...
  16. trig

    1. 3cot^2 (x) - 1 = 0 My answer: pi/3, 2pi/3, 4pi/3, 5pi/3 2. 4cos^2 (x) - 1 = 0 My answer: pi/3, 2pi/3, 5pi/3, 4pi/3 3. 2sin (x) + csc (x) = 0 My answer: unknown lol i got to the part: sin^2 (x) = -1/2 4. 4sin^3 (x) + 2sin^2 (x) - 2sin^2 (x) = 1
  17. math

    find all solutions in the interval [0,2 pi) sin(x+(3.14/3) + sin(x- 3.14/3) =1 sin^4 x cos^2 x Since sin (a+b) = sina cosb + cosb sina and sin (a-b) = sina cosb - cosb sina, the first problem can be written 2 sin x cos (pi/3)= sin x The solution to sin x = 1 is x = pi/2 For ...
  18. Pre-Calculus

    cos^2(x) + sin(x) = 1 - Find all solutions in the interval [0, 2pi) I got pi/2 but the answer says {0, pi/2, pi} Where does 0 and pi come from for solutions? When simplifying I just get sin(x)=1
  19. Math

    Can I please get some help on these questions: 1. How many solutions does the equation,2sin^2 2 θ = sin2θ have on the interval [0, 2pi]? 4? ...what about 4cos2θ = 8cos^2 2θ? 2. True or False: sin^2 4x = 1 has 8 solutions on the interval [0, 2pi]? False? 3. ...
  20. trig

    Find all solutions in the interval [0,2pi]. sin 2x + sin x = 0
  21. Maths

    Eq of curve is y=b sin^2(pi.x/a). Find mean value for part of curve where x lies between b and a. I have gone thus far- y=b[1-cos(2pi x/a)/2]/2 Integral y from a to b=b/2(b-a)-ab/4pi[sin(2pi b/a)-sin2pi) MV=b/2-[ab sin(2pi b/a)]/(b-a) Ans given is b/a. I am not getting further.
  22. Trig/PreCalc

    Teach me how to express 5sqrt3 - 5i in polar form please. I don't want you to do the work for me. Just show me the steps I need to do the work properly on my own. Otherwise I will not pass this class or the exam when I enter college, and I do not want to retake PreCalc. Its a ...
  23. maths

    Please can you help me with this question? Choose the option which is a false statement: A arctan(tan2/3pi))=-1/3pi B arccos(cos(3/4pi))=3/4pi C sin(arcsin(-1/2pi))=-1/2pi D arcsin(1/2squareroot3)=1/3pi E arcsin(sin(3/4pi))=1/4pi F arccos (1/2squareroot2)=1/4pi
  24. math

    use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(-pi/6), cos(5pi/3) and tan (4pi/3). I know that sin -(pi/6) = -1/2 and cos (5pi/30 = 1/2 and tan 4pi/3 = root 3. ...
  25. Algebra 2

    What values for theta(0 <= theta <= 2pi) satisfy the equation? 2 sin theta cos theta + sqrt 3 cos theta = 0 a. pi/2, 4pi/3, 3pi/2, 5pi/3 b. pi/2, 3pi/4, 3pi/2, 5pi/3 c. pi/2, 3pi/4, 3pi/2, 5pi/4 d. pi/2, pi/4, 3pi/2, 5pi/3 I have spent hours on this last question for my ...
  26. Trigonometry

    Find all solutions of the equation in the interval [0,2pi] algebraically. sin^2x + cosx + 1 = 0
  27. Math

    Directions: Find all solutions of the equation in the interval (0, 2pi) sin x/2=1-cosx
  28. math

    Can someone please check my answers and help me with the last question! 1. Solve sin2xcos2x = 4sin2x on the interval [0, 2pi] 0, pi, 2pi? 2. Exact value of sin(pi/12) - sin(5pi/12) root3/4? 3. Using factorial notation, 0! = 1 False? 4. Find the area of the following triangle. ...
  29. Math

    Find all solutions on the interval (0, 2pi) of the equation: 2(sin^2)t-3sint+1=0 how do you get this one started?
  30. math

    Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of sin -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the special tables sin pi/6 = cos pi/3 = 1/2 cos...
  31. math

    Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of si -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using the special tables sin(ƒÎ/6) = cos(ƒÎ/3) = 1/...
  32. math

    use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(-pi/6), cos(5pi/3) and tan (4pi/3). I know that sin -(pi/6) = -1/2 and cos (5pi/30 = 1/2 and tan 4pi/3 = root 3 but...
  33. Math (Calc)

    Find all solutions to the following equation on the interval 0<=x<=2PI 8cos^2(X)sin^2(X) + 2cos^2(X) - 3 = 0 There are 8 solutions. If somebody could show me how to do it and not give me the answers, that would be great.
  34. trig

    please help me with some questions I skipped on a review for our test coming up? solve 5-7 on the interval 0 greater than or equal to x less than or equal to 2pi. 5. sin x=sqrt3/2 6. cos x=-1/2 7. tan x=0 ---------------- 14. what is the exact value of tan[arcsin(.43...
  35. Calculus

    I need to find the exact solutions on the interval [0,2pi) for: 2sin^2(x/2) - 3sin(x/2) + 1 = 0 I would start: (2sin(x/2)-1)(sin(x/2)-1) = 0 sin(x/2)=1/2 and sin(x/2)=1 what's next? Ok, what angle has a sin equal to say 1/2 sin (x/2)=1 arc sin (1) = x/2 PI/2=x/2 solve for x do...
  36. Trigonometry

    Use the half-angle identities to find all solutions on the interval [0,2pi) for the equation cos^2(x) = sin^2(x/2)
  37. Trigonometry

    Use the half-angle identities to find all solutions on the interval [0,2pi) for the equation sin^2(x) = cos^2(x/2)
  38. Math

    Find all solutions of the given equation in the interval [0, 2pi) cos x/2 - sin x = 0 Hi, I am struggling with this question. Can anybody help me please? Thanks!
  39. Math Help

    Hello! Can someone please check and see if I did this right? Thanks! :) Directions: Find the exact solutions of the equation in the interval [0,2pi] cos2x+sinx=0 My answer: cos2x+sinx=cos^2x-sin^2x+sinx =1-sin^2x-sin^2x+sinx =-2sin^2x+sinx+1=0
  40. calculus

    Find complete length of curve r=a sin^3(theta/3). I have gone thus- (theta written as t) r^2= a^2 sin^6 t/3 and (dr/dt)^2=a^2 sin^4(t/3)cos^2(t/3) s=Int Sqrt[a^2 sin^6 t/3+a^2 sin^4(t/3)cos^2(t/3)]dt =a Int Sqrt[sin^4(t/3){(sin^2(t/3)+cos^2(t/3)}]dt=a Int Sqrt[sin^4(t/3)dt =a ...
  41. math

    Evaluate. 1. sin^-1(-1/2) 2. cos^-1[(-root 3)/2] 3. arctan[(root3)/3] 4. cos(arccos2/3) 5. arcsin(sin 2pi) 6. sin(arccos 1) I got these values as my answers: 1. -pi/6 2. 5pi/6 3. pi/6 4. 2/3 5. 2pi 6. 0 Can someone please tell me if they are right? thank you
  42. trig

    Find all solutions of the equation. Leave answers in trigonometric form. x^5-1024=0 I got 4(cos tehta + i sin tehta), tehta = 0, 2pi/5, 4pi/5, 6pi/5, 8pi/5 is this right
  43. calc

    i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given by v(t) = 1 - sin(2pi*t). a. Acceleration a(t...
  44. math

    find all solution to the equation 3 cos(x+4)=1. in the interval of 0<x<2pi This is what I got: arccos (1/3)+4 but I cant figure the rest out Solve the following equation in the interval [0, 2pi]. (sin(t))^2=1/2. Give the answer as a multiple of pi.
  45. math

    Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^-1 1/2) Sin^-1 (sin 7pi/6) x= t^2 + 3 y = 2t ...
  46. trig

    Find the exact solutions of the equation in the interval [0,2pi). sin(x/2)+cos(x)=0
  47. math

    determine all co terminal angles that lie in the interval -4pi less thank or equal to theta less than or equal to 4pi, for the following angles. a) 3pi/2 b) -5pi/3
  48. Trig

    Find all solutions of the equation in the interval [0,2pi) 2 cos^2 x-cos x = 0 -2cos^2 + cosx + 0 (x+1/2) (x+0/2) (2x+1) (x+0) -1/2,0 2Pi/3, 4pi/3, pi/2, 3pi/2 my teacher circled pi/2 and 3pi/2 What did I do wrong? I don't understand...
  49. Pre Cal.

    1. Use half-angle identity to find the exact value of cos165. MY ANSWER: (-1/2)sqrt(2+sqrt(3)) 2. Solve 2 sin x + sqrt(3) < 0 for 0<= x<2pi. MY ANSWER: (4pi/3)< x < (5pi/3) 3.Write the equation 2x+ 3y-5=0 in normal form? (-2sqrt(13)/13)x - (3sqrt(13)/13)y + ...
  50. Trig

    the number of solutions of sin x= -sqrt3/2 for x between 0 and 2pi
  51. Calc

    Find the exact total of the areas bounded by the following functions: f(x) = sinx g(x) = cosx x = 0 x = 2pi I set my calculator to graph on the x-axis as a 2pi scale. The two functions appear to cross three times between x = 0 and 2pi. (including 2pi) Now, from top to bottom, ...
  52. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin (1/x)=-1 (4) Explain ...
  53. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin (1/x)=-1 (4) Explain ...
  54. Trig functions

    1)Write the equation sin y= x in the form of an inverse function. A)y=Sin-1x B)x=Sin-1y C)y=sin-1x D)y=Sinx I chose A 2)Solve y=Arcsin1/2 A)-5pi/6 B)5pi/6 C)-pi/6 D)pi/6 I chose D 3)Find the value of Sin-1(-1/2) A)-30 degrees B)30 degrees C)150 degrees D)330 degrees I chose A ...
  55. Math

    how many solutions does the equation sin(5x)=1/2 have on the interval [0,2pi]?
  56. Math Trig

    Find all solutions on the interval [0,2pi] for the following: 2sin^2(x)-5sin(x)=-3 cos^2(x)+sin(x)=1
  57. precalculus

    Evaluate the following expressions. Your answer must be an angle in radians and in the interval [(-pi/2),(pi/2)] . (a) sin^(-1)(0) = (b) sin^(-1)((-sqrt3)/2) = (c) sin^(-1)(-1/2) =
  58. trig

    I need to find all solutions of the given equations for the indicated interval. Round solutions to three decimal places if necessary. 1.) 3sin(x)+1=0, x within [0,2pi) 2.) 2sin(sq'd)(x)+cos(x)-1=0, x within R 3.) 4sin(sq'd)(x)-4sin(x)-1=0, x within R 4.) sin(x)+1=cos(x), x ...
  59. Integration by Parts

    integral from 0 to 2pi of isin(t)e^(it)dt. I know my answer should be -pi. **I pull i out because it is a constant. My work: let u=e^(it) du=ie^(it)dt dv=sin(t) v=-cos(t) i integral sin(t)e^(it)dt= -e^(it)cos(t)+i*integral cost(t)e^(it)dt do integration by parts again, then I ...
  60. trig

    Solve cos x-1 = sin^2 x Find all solutions on the interval [0,2pi) a. x=pi, x=pi/2, x= 2pi/3 b. x=3pi/7, x=pi/2, x=2pi/3 c. x=3pi/7, x=3pi/2, x=3pi/2 d. x=pi, x=pi/2, x=3pi/2
  61. Pre-Cal

    Approximate the equation's soultions in the interval (o, 2pi). If possible find the exact solutions. sin 2x sinx = cosx I do not know where to start.
  62. trigonometry

    Find all solutions on the interval [0.2pi) A) -3sin(t)=15cos(t)sin(t) I have no clue... b) 8cos^2(t)=3-2cos(t) All i did was move around the equation to make an quadratic for B. so -8cos^2(t)-2cos(t)+3 = 0
  63. Pre-Cal(Please help)

    Approximate the equation's soultions in the interval (o, 2pi). If possible find the exact solutions. sin 2x sinx = cosx I do not know where to start.
  64. Math

    Find the exact solutions of the equation In The interval.. Sin 2x -sin x=0
  65. Precalculs

    I have no idea how to do these type of problems. -------Problem-------- Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1 ---------------------- There is an example prior to the excersises that attempts to ...
  66. Trigonometry

    Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)
  67. Trigonometry

    Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)
  68. Trigonometry

    Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x + 4; [0, 2π)
  69. Trig

    I need help, I don't remember what to do. Find all solutions of the equation in the interval [0,2pi]. (2cosè+sqrt3)(cscè+1)=0 Write your answer in radians in terms of pi. If there is more than one solution, separate them with commas.
  70. Pre-Calc/Math

    Use factoring, the quadratic formula, or identities to solve cos(x)+1=sin^(2)x. Find all solutions on the interval [0, 2pi)
  71. Calculus

    Find the area in the first quadrant bounded by the arc of the circle described by the polar equation r = (2 sin theta)+(4 cos theta) A. 5pi/2 B. (5pi/2)+4 C. 5pi D. 5pi + 8
  72. Math - complex numbers

    These questions are related to de moivre's theorem: z^n + 1/z^n = 2cosntheta z^n - 1/z^n = 2 isin ntheta 1. Express sin^5theta in the form Asintheta + Bsin3theta + Csin5theta and hence find the integral of sin^5theta. 2. Express sin^6theta in multiples of costheta and hence ...
  73. Calc

    Let f(x)=sqrt(x) and g(x)=sin(x). Find f*g and determine where f*g is continuous on the interval (-4pi, 4pi)
  74. Math

    The graph of f(x), a trigonometric function, and the graph of g(x) = c intersect at n points over the interval 0 <= x <= 2pi. There are m algebraic solutions to the equation f(x) = g(x), where m > n. Which of the following functions are most likely to be f(x)? f(x) = ...
  75. Trigonometry

    How do I find all solutions in the interval [0,2Pi): sin2x=cos2x answer choices are: a.)Pi/8 b.) Pi/8, 5Pi/8, 9Pi/8, 13Pi/8
  76. Trig

    can I please have help with these 3 questions? 1. Solve this equation graphically on the interval [0, 2ð]. list the solutions. sin(2x)-1=tan x 2. solve sin x cos x= sqrt3/4 3. solve tan^2 x-3tan x+2=0 thank you! show step by step please.
  77. Precalculus

    I have three questions on my homework in which I am stuck on. Thanks for the help! #1 find all solutions of the equation in the interval [0,2pie). In cases where a calculator is necessary, round the answers to two decimal places. sin(sinx)=pie/6 #2 A 100 ft vertical antenna is...
  78. trig

    2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3π] So I need to find general solutions to solve the equation. But do I eliminate cos(x), like this... 2sin(x)cos(x)+cos(x)=0 2sin(x)cos(x)= -cos(x) 2sin(x) = -1 sin(x) = -1/2 at 4pi/3 and 5pi/3 and then ...
  79. Solving Trig Equations

    Solve for x in the interval [-pi,0] a) sin^2x = 3/4 I know that you have +root3/2 and -root3/2 and the positive one gives you an error when doing the inverse of sin, but im confused about the -root3/2. I found that one of the answers of x is -pi/3 (-60 degrees) which fits my ...
  80. trig

    prove the following trig identity: a) sin(pi/6 + x) + sin (pi/3 + x) + sin (pi/2 + x) = ((sqrt3) +1)/2 (sinx +(sqrt3)cosx) b) sin(pi/4 + x) + sin(pi/4 - 4)= (sqrt2)cosx
  81. Pre Calculus

    Approximate, to the nearest 0.01 radian, all angles theta in the interval [0,2pi) that satisfy the equation. a.) sin theta=-0.0135 b.) cot theta=-2.731 Thank you for helping! I appreciate it!
  82. solving trig. equations

    tan(3x) + 1 = sec(3x) Thanks, pretend 3x equals x so tanx + 1 = secx we know the law that 1 + tanx = secx so tanx + 1 becomes secx and... secx = secx sec(3x) = sec(3x) [just put 3x back in for x- you don't really have to change 3x to x but it kinda makes it easier Let 3x =u ...
  83. Math

    We can find the solutions of sin x = 0.6 algebraically. (Round your answers to two decimal places.) (a) First we find the solutions in the interval [0, 2π). We get one such solution by taking sin−1 to get x = ________ (smaller value). The other solution in this ...
  84. trigonometry

    The problem is: Solve each of the following equations over the interval [0,2Pi). 2sin^2 x - 1 = 0 The answers are: Pi/4, 3Pi/4, 5Pi/4, 7Pi/4 I know how to get the first two answers, but I'm not sure how you get the last two answers, since sin would be negative in quadrants 3 ...
  85. Math (Integrals) (Using given method)

    I would like to solve the ∫sin^2(pix) dx Using the given substitution identity: sin^2(x) = (1/2)(1-cos2x) This is what I did so far: ∫sin^2(pix) let u = pix du = pi dx (1/pi)∫sin^2(u)du Applying the identity is where I'm lost on how to continue further.. (1/pi)∫(1/2)(1...
  86. Calculus

    1. Determine whether Rolle's Theorem applied to the function f(x)=((x-6)(x+4))/(x+7)^2 on the closed interval[-4,6]. If Rolle's Theorem can be applied, find all numbers of c in the open interval (-4,6) such that f'(c)=0. 2. Determine whether the Mean Value Theorem applied to ...
  87. Calculus II

    With Taylor/Maclaurin polynomials Use the Remainder Estimation Theorem to find an interval containing x = 0 over which f(x) can be approximated by p(x) to three decimal-place accuracy throughout the interval. f(x) = sin x p(x) = x - 1/6 * x^3 The book answer is (-.569, +.569...
  88. trig

    Find all solutions of cos (x) + 1/2 sec (x) = -3/2 in the interval (2pi, 4pi) (Leave your answers in exact form and enter them as a comma-separated list.)
  89. Trigonometry

    16 sin^2 x = 16 − 8 cos x Find all solutions of the equation in the interval [0, 2π)
  90. pre calc

    Find all solutions to the equation 2 sin^2(θ) − sin(θ) − 1 = 0.
  91. Precalculus

    Please help!!!!!!!!!!! Find all solutions in the interval [0,2π). 7. 2 sin^2x=sin x Please answer asap
  92. Math

    Please help!!!!!!!!!!! Find all solutions in the interval [0,2π). 7. 2 sin^2x=sin x Please answer asap
  93. trigonometry

    refer to the graph of y=sin(x) or cos(x) to find the exact values of (x) in the interval [0,4pi]that satisfy the equation. 4sin(x)=4
  94. Math-trigonometry

    Several questions from my homework, any are appreciated. Thanks! Solve: 1) sinx-tanx=0 2) 3csc^2x=4 Find all solutions within (0,2pi) 3) cos4x(cosx-1)=0 4) cos4x-7cos2x=8 Use inverse functions where necessary to find solutions from 0 to 2pi 5) sin^2x-2sinx=0 Find the exact ...
  95. pre calc

    Find all solutions to the equation 2 sin^2(θ) − sin(θ) − 1 = 0. Please explain throughly. Thank you so much :)
  96. Math

    Please help!!!!!!!!!!! Find all solutions in the interval [0,2π). 7. 2 sin^2x=sin x Please help me!!!!!!!!!!!!
  97. Pre calc

    Find all primary solutions (i.e. 0 ≤ θ < 2π ) of the equation cos(2θ ) = 4 − 3 cos(θ ). Find all primary solutions (i.e. 0 ≤ θ < 2π ) of the equation cos(2θ )cos(θ ) = sin(2θ )sin(θ ). Please can somone help and show all work Thank you these two examples ...
  98. Pre calc

    Find all primary solutions (i.e. 0 ≤ θ < 2π ) of the equation cos(2θ ) = 4 − 3 cos(θ ). Find all primary solutions (i.e. 0 ≤ θ < 2π ) of the equation cos(2θ )cos(θ ) = sin(2θ )sin(θ ). Please can somone help and show all work Thank you these two examples ...
  99. Calculus

    Consider the function g(x) = sinxcosx. a. Find an equation of the tangent line to the graph of g at (pi/3, sqrt3/4). b. Find the critical number(s) of g on the interval [0, 2pi]. Does the function have a relative minimum, relative maximum, or neither at each critical number. ...
  100. calculus

    Find all relative extrema and points of inflection of the function: f(x) = sin (x/2) 0 =< x =< 4pi =< is supposed to be less than or equal to. I can find the extrema, but the points of inflection has me stumped. The inflection point is (2pi,0) but shouldn't there be ...
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