If cos(t)=(-7/8) where pi

4,795 questions, page 36
  1. Dynamic n vibration, physics

    A system is represented by the equation: 2x”+128x = f(t) Obtain the free response of the system in the form a) x = A sin wn (t ) + B cos wn (t) b) x= A sin wn (t) + ϕ The initial conditions are x(0) = 0.05m and x’ = 0.3m/s.

    asked by Chad on October 11, 2017
  2. Math for Reiny

    your derivative is correct. now just plug in x = π/2 to get the slope remember that tan(π/2) is undefined, BUT cot (π/2) = cos(π/2) / sin(π/2) = 0/1 = 0 so slope = -csc^2 (π/2) = 2 I calculated and got -1 as the slope. Can you please explain how you

    asked by Dave on October 12, 2016
  3. Math for Reiny

    your derivative is correct. now just plug in x = π/2 to get the slope remember that tan(π/2) is undefined, BUT cot (π/2) = cos(π/2) / sin(π/2) = 0/1 = 0 so slope = -csc^2 (π/2) = 2 I calculated and got -1 as the slope. Can you please explain how you

    asked by Dave on October 12, 2016
  4. Advance function

    given that sinx, tanx, and sin2x form geometric sequence, show cos^3x=1/2 can someone explain this to me, i have no idea how to solve it. i really done understand how to turn it into a geometric sequence

    asked by AA on November 5, 2016
  5. Calculus

    Consider the following. cos(x) + sqrt(y)= 1 (a) Find y' by implicit differentiation. y' = Correct: Your answer is correct. (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ? (c) Check that your solutions to parts (a)

    asked by Anonymous on May 11, 2018
  6. Physics

    Keisha throws a baseball with an initial velocity of 30 m/s at 30.0° above the horizontal. If air resistance is negligible, how long does it take for the baseball to reach the maximum height of its trajectory? Assume that the acceleration due to gravity

    asked by Jared on September 23, 2016
  7. Math

    The hypotenuse of,c of right triangle ABC is 7.0 m long. A trigonometric ratio for angle A is given for four different triangles. Which one of these triangles has the greatest area? Justify your decision. a)sec A=1.7105 b)cos A=0.7512 c) csc A=2.2703 d)sin

    asked by Emily on November 26, 2010
  8. precalculus

    Can you check my work? sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve. x=2+3cosθ y=2sinθ answer: cosθ=x/5 sinθ=y/2 cos^2θ + sin^2θ=1

    asked by Anonymous on December 14, 2016
  9. maths

    Xsin(theta)-Ysin(theta)=sqrtX^2+Y^2 and cos^2(theta)/a^2+sin^2(theta)/b^2=1/X^2+Y^2 then find correct relation

    asked by aakash on April 24, 2014
  10. Trig Question

    Given that tan x= -3/4 and x is in the second quadrant. Find sin 2x, cos 2x, and tan 2x (Exact, no decimals). Please show step-by-step, thank you!

    asked by Anonymous on April 26, 2012
  11. math

    Sin(2x)=2sin(x)cos(x) find the exact value in radians with 2sin^2(x)+sin^2(x)=0, i really do not get this question or even how to do this ive been trying to figure it out but cant

    asked by john on November 16, 2012
  12. math

    Sin(2x)=2sin(x)cos(x) find the exact value in radians with 2sin^2(x)+sin^2(x)=0, i really do not get this question or even how to do this ive been trying to figure it out but cant

    asked by john on November 16, 2012
  13. Math

    Evaluate the integral of (sin 2x)/(1+cos^2 x) 1. u=cosx and du=-sinx *dx 2. evaluate the integral of -1/(1+u^2)*du 3. result is -ln(1+u^2)+C Where did the sin2x dissapear too???

    asked by Dave on September 13, 2017
  14. Pre-Calculus

    I really need help on this question Simplify the expression by using a Double-Angle formula or a Half-Angle Formula cos^2 0/2-sin^2 0/2

    asked by Andrea on November 12, 2014
  15. Trigonometry

    Cos D= -3/4. if the sine of the angle is positive, find the sine of the angle and determine the quadrant. Can anyone tell me the steps. I need to learn this.

    asked by Laly on February 18, 2010
  16. Algebra

    Verify the identity. Justify each step. tan (thetA) + cot (thetA) = 1 / sin (thetA) cos (thetA)

    asked by Chris on May 7, 2019
  17. Math

    Are these correct? 5. is sin θ = -7/13 and cos θ = 12/13, find tan θ and cot θ using Quotient Identities. answers: tan (θ) = -(7/12) cot (θ) = -(12/7)

    asked by Anonymous on March 25, 2019
  18. Trigonometry

    How am I suppose to transform the left side of the equation into the right side using trig identities? ): 1) sin^2θ - cos^2θ = 2 sin^2θ - 1

    asked by Sira on January 10, 2013
  19. Pre-Cal

    Suppose that cosx= -3/5 and x is in the third quadrant, and that siny= 2/9 and y is in the second quadrant. Find the exact values 1). tan(y/2) 2). cos(x+y) 3). tan(x+y)

    asked by Help on July 12, 2016
  20. physics

    The position of a mass oscillating on a spring is given by x = (5.6 cm) cos [2πt / (2.03 s)]. (a) What is the period of this motion? (b) What is the first time the mass is at the position x = 0?

    asked by aok on November 18, 2010
  21. Trig

    find the exact value of the expression using the provided information. Find Tan (S+T) given that cos s=1/3 with s in quad I and sin T= -1/2 with T in quad IV

    asked by Paige on February 18, 2011
  22. Trigonometrt

    Express in functions of theta: a. sin ( 810- theta) b. cot ( theta - 360) c cos (-180- theta)

    asked by Fern Angel on April 9, 2016
  23. trigonometry

    1)Solve and write in standard form: 4x^2-4x+21=0 2)Find the standard form of the complex number. 8(cos pi/2 + i sin pi/2) Thanks everyone!

    asked by mikey on December 3, 2012
  24. Maths

    Find a if a is between 0 degrees and 180 degrees, and: a. Sin a = cos a b. sin^2 = 3/4 c. tan^2 = 1/3 I have no clue on where to start any help would be much appreciated.

    asked by Rick on September 28, 2017
  25. Calculus

    Show that y= x + sinx-pi satisfies the initial value problem dy/dx=1 + cos x, y(pi)= 0 i don't understand how to do this problem. i don't know where to begin.

    asked by Dan on November 18, 2008
  26. Calculus

    For 0 < x < PI/2, if y = sin(x)^x, then dy/dx is.. I understand that you can take the natural logarithm of both sides and then take the derivative but why can't I simply take the derivative of it and get.. dy/dx = x(cos(x))(sin(x))^(x-1). Thanks in advance

    asked by Anonymous on March 30, 2008
  27. trig

    Verify the trigonometric identity. Please show all steps. tanx-cotx/tanx+cotx=sin^2x-cos^2x

    asked by garrett on March 4, 2012
  28. Pre Calculus

    Find the magnitude and direction angle for the vector v=3 cos 123 degrees i + 3 sin 123 degrees j.

    asked by ADOG on May 17, 2018
  29. Trigonometry Help

    Simplify: sin(x-y)cosy+cos(x-y)siny = (sinxcosy-cosxsiny)cosy+(cosxcosy+sinxsiny)siny = ??? What do I do next??? Please Help and Thank You

    asked by Anonymous on February 21, 2012
  30. Trig

    Show that the following statement is an identity by transforming the left side into the right side. sinθ(cscθ − sinθ)= cos^2 θ

    asked by Kim on January 31, 2018
  31. trigonometry

    given tanθ= -2√10/3 and π/2

    asked by Yulieth on November 20, 2011
  32. Physics

    The position of a mass oscillating on a spring is given by x=(4.7 cm)cos [2pi t/(0.52 s)]. What is the period of this motion? What is the first time the mass is at the position x=0?

    asked by Cooper on November 17, 2011
  33. MATH

    prove tan (theta/2)= (sin(theta))/(1+cos(theta))for theta in quadrant 1 by providing the calculation along with the reason. I appreciate the help.

    asked by LIZZIE on January 29, 2014
  34. Trig

    find the exact value of the expression using the provided information. Find Tan (S+T) given that cos s=1/3 with s in quad I and sin T= -1/2 with T in quad IV

    asked by Patti on February 19, 2011
  35. pre calculus

    ea + bi = ea(cos b + i sin b) This formula gives rise to the equation eπi + 1 = 0. . Show how Euler’s formula can be used to derive this equation.

    asked by Anonymous on November 26, 2016
  36. Trig

    Give: a=alpha B=beta csc a= 2 pi/2

    asked by Sierra on November 7, 2012
  37. math

    Find the integral given below. integral cos^2(7x+1)dx

    asked by Carl on September 12, 2018
  38. Calculus

    Does f(x)= 1 + cos(x), have an inverse or not, if so, what is the inverse? please explain.

    asked by Carrie on February 15, 2011
  39. math

    how to simplify: {cos(x)/sin(x)} / (sin^2 (x))

    asked by jasmine on March 26, 2009
  40. ãåîìåòðèÿ

    Cos 600º + sin 600º -?

    asked by Àëåêñàíäð on March 17, 2014
  41. Math

    cot (theta)=-9/8, cos (theta)

    asked by David on June 14, 2010
  42. Math

    Show that sin (α-30°)+cos (α+30°) = (√3 - √1)/√2 × sin (α+45°)

    asked by NR on May 22, 2017
  43. Maths

    sin(x)+cos(x)=2/3 find the value of sin(x)

    asked by Shubham on May 22, 2008
  44. pre cal

    simplify sin (8x) using only sin(x) and cos (x)

    asked by Terri on June 29, 2012
  45. trig

    inverse tan x = inverse cos 4/5

    asked by makaela on May 16, 2012
  46. precalculus

    Let z1=2(cos 2pi/3+isin 2pi/3) what are z1^(1/3)?

    asked by jk on March 31, 2015
  47. precalculus

    Let z1=2(cos 2pi/3+isin 2pi/3) what are z1^(1/3)?

    asked by jk on March 31, 2015
  48. Trigonometry

    If sin(x) = 4cos(x), then what is (sin(x))*(cos (x))?

    asked by Katie on April 4, 2016
  49. precal

    sinx(ccscx-sinx=cos^x

    asked by Anonymous on March 23, 2012
  50. maths

    if sin A = 3/5 and cos A is less than 0,determine the value of sin (-A)

    asked by sbonelo on March 7, 2014
  51. math

    Please help. given the units for four of the six variables, what must be the units of z and y? a=m t=s/K h=N^4 x=m z^a=xh cos(yt)

    asked by lexy on October 23, 2016
  52. Math-Derivitives

    if f(x)=x^3+5x, then f'(2)= if f(x)=cos(2x), then f'(pi/4) derivatives and anti derivatives please help

    asked by AdrianV on March 23, 2010
  53. Trig

    I need to the steps to get (1-sinx)(1+sinx)=cos^2 x

    asked by Jaime on October 28, 2014
  54. trigonometry

    If cos x = 4/5, 0° x 90°, find the value of (1 + tan x)/(1 - tan x)

    asked by Lucky on April 8, 2017
  55. Math

    (cos^4x -sin ^4 x)/(sin^2x)=cot^2x -1

    asked by Anonymous on November 10, 2014
  56. calculus2

    How do I evaluate this integral? integral from 0 to 24 of the √(1+[(π/3)*cos((πx/3)]^2)

    asked by A on July 21, 2018
  57. Cosine question

    cos theta= .5 2cos theta= .5 how do you do this?

    asked by Diana on January 9, 2012
  58. Math

    Let ∠X and ∠Y be complementary. If sin(X) = 3/5 and cos(X) = 4/5 then what is the value of sin(Y)? A)3/5 B) 4/5 C) 5/4 D) 5/3 Is it A?

    asked by Yolanda on August 8, 2015
  59. math

    cos^2 theta - sin^2 theta = 1

    asked by Amirul Thaqif on February 2, 2013
  60. Trigonometry

    cos2Acos2B + sin²(A-B) - sin²(A+B) = cos(2A+2B)

    asked by Kewal on January 12, 2012
  61. math

    sin(((cos^-1)(3/5))-((sin^-1)(5/13))) help and explain please

    asked by math genius on December 21, 2011
  62. trig

    cos^(2) 20 degrees + sin^(2) 20 degrees +pi/2

    asked by Anonymous on February 17, 2013
  63. maths

    how does 2sin(a/2)cos(((m+1)/2)a) = sin(((m+2)/2)a) - sin ((ma)/2)?

    asked by nn on June 30, 2011
  64. Trigonometry

    cos 17pi/6 + tan 17pi/6

    asked by dan on January 23, 2013
  65. Math

    Evaluate cos^2(pi/12). a)1/4 b)(2+sqrt3)/4** c)3/2 d)(2-sqrt3)/4 Please help :(

    asked by Unknown on May 27, 2018
  66. trig

    prove: cos*2x=csc*2x-2/csc*2x

    asked by Sarah Fuller on March 9, 2010
  67. Pre-calc

    If Theta= -7pi/6; then cos(Theta) is...

    asked by Jane on October 25, 2014
  68. Math (Trig)

    I have a unit circle graph like the one at the top of a website (do a google search for 'unit circle trig functions' and click the second link, since I can't post links). I need to label the sine, cosine, tangent, secant, cosecant, and cotangent. I found

    asked by Chris on March 18, 2007
  69. Physics..=> drwls - I need your help

    I need help seeing if my thoughts are correct and how to do some things. Block 1 of mass 0.200 kg is sliding to the right over a frictionless elevated surface at a speed of 8.00 m / s. The block undergoes an elastic collision with stationary block 2, which

    asked by ~christina~ on February 26, 2008
  70. physics (simple harmonic motion)

    If the phase angle for a block-spring system in SHM is π/5 rad and the block's position is given x = xm cos(ωt + ϕ), what is the ratio of the kinetic energy to the potential energy at time t = 0?

    asked by rock on February 4, 2011
  71. Cal

    If the equation of motion of a particle is given by s = A cos(ωt + δ), the particle is said to undergo simple harmonic motion. s'(t) = -Aω sin(ωt + δ) When is the velocity 0? (Use n as the arbitrary integer.) t= _____________ I thought it was 0, but

    asked by Nykie on November 29, 2011
  72. physics

    The function y(x, t) = (25.0 cm) cos(ðx - 15ðt), with x in meters and t in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement y = +22.0 cm?

    asked by tom on May 13, 2011
  73. CALCULUS

    Use a graphing calculator to solve the equation -3 cos t = 1 in the interval from 0 ≤ θ ≤ 2π Round to the nearest hundredth. so i put it in a graphing calculator online and now i understand what i am supposed to write or do can someone please help

    asked by hello :) on February 4, 2019
  74. Diff eqn- IVP

    The differential equation that governs the forced oscillation is shown below: 0.2 d²y/dt² + 1.2 dy/dt +2y = r(t) where r(t) is the external force. Given that r(t) = 5 cos 4t with y(0) = 0 . find the equation of motion of the forced oscillations

    asked by shasha on March 14, 2011
  75. calculus

    need help simplifying some trig identities such as: (csc t) (sin t) cos t = 0.75 and tan t = 0.88, find sec t and cot t; (cot2t) (sin2t) + sin2 t; csc2t - cot2t/sin2t

    asked by angelia on March 25, 2012
  76. Calculus

    The height (in feet) at time t (in seconds) of a small weight oscillating at the end of a spring is given below. h(t) = 0.2 cos(2t) (a) Calculate the weight's average velocity over the time intervals [1, 2] and [5, 7].

    asked by Lindy on January 26, 2013
  77. Calculus I

    We're reviewing limits from the previous chapter, but I'm still having some difficulty with some problems: lim tan(pi(x/4)) as x-> -7 lim (x^2 - x^3(cos(1/x))/3x^2 as x-> 0 I know the answer to the first problem is 1 and to the second problem it's 1/3 but

    asked by Emily on January 30, 2012
  78. Math

    An equation of the tangent line to the curve y=f(x)=x(4cosx−6sinx) at the point (3f(3)) is y =? Note: Please follow these instructions carefully: (a) Express f(3) and f(3) in terms of . Simplify those expressions by evaluating the exact values of sin(3)

    asked by Sam on November 5, 2013
  79. physics

    A horizontal spring mass system is set up to keep time so that it goes from one side to the other in 6 seconds. The mass used in this system is 0.69 kg. The distance from one side to the other is 2.4 m. What spring constant should be used if it is to

    asked by sunny on December 31, 2012
  80. Math

    The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 2 cos 6t, where y is the displacement in centimeters and t is the time in seconds. Find the displacement when t = 1.45, and round your answer to four

    asked by Anonymous on September 10, 2015
  81. Trigonometry

    I am having problems with proving identities that has a number and an exponent with it. Like: *2cosxcsc2x = cscx *sin^2 2x = 4sin^2 x cos^2 x *cot2(theta)=csc(theta)-2sin(theta)/2cos(theta)

    asked by Jam on October 29, 2014
  82. Math Calculus I

    let f(x)= 6sin(x)/(2sin(x)+6cos(x)) The equation of the tangent line to y= f(x) at a= pi/6 can be written in tthe form y=mx+b where m=? b=? I found the f': (9*(cos^2(x)+sin^2(x)))/(3cos(x)+sin(x))^2 but i don't know how to fill it into the form. Can anyone

    asked by Anonymous on May 30, 2016
  83. calculus

    Find a number x0 between 0 and pi such that the tangent line to the curve y = sin x at x = x0 is parallel to the line y = -x=2. I get that for both lines to be parallel to each other their slopes need to be the same. I found -1/2 = cos(x) but I get stuck

    asked by asdf on December 1, 2012
  84. Calculus

    h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. For what values of a will h(x) have a relative maximum at x=1? So I found the derivative and got h'(x) = 1- asin(ax). Then I plugged in 1 for x and set the derivative equal to zero, so

    asked by ashley on May 1, 2015
  85. trigonometry

    tan 30degrees = sin 60degrees /1+cos 60degrees I pluged in the numebrs and i got this . ã3/3= ã3/2 / 1+1/2 now i don't know how to work the problem to get the answer which is supposed to be ã3/3=ã3/3 i want an explaintion cuz i want to know how

    asked by Cas on December 29, 2010
  86. rate of change

    For a person at rest, the function p(t) = -20 cos(300˚t) + 100 models blood pressure, in millimeters of mercury ( mm Hg), at time t seconds. What is the rate of change in blood pressure at 3 s?

    asked by sara on June 9, 2012
  87. trig

    I asked below but I guess it was not understood what I was asking. I'll try again. Could someone show me how, (- sin (x/2) /( 2 sin (x/2) + cos (x/2)) is an alternate representation for, 1 / ( 4 tan (x/2) + 2 ) TIA Carol I know the half-angle formulas are

    asked by Carol on January 3, 2011
  88. AP Calc B/C

    Find the arc length of one arch of the sine curve. I started it by doing y=sinx, y'=cosx arc length= integral of sqrt(1+cos^2x)dx from pi/2 to 3pi/2 but I don't know how to integrate that! Thank you!

    asked by Anon on September 13, 2014
  89. trigonomentry...Very hard

    express root(9+x^2) as a trigonomentric function of tita without using radicals by letting x=3tantita.assume that 0

    asked by dam on May 2, 2016
  90. precal

    Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 cos2 θ − cos θ − 1 = 0

    asked by stellar on October 22, 2011
  91. Pre-Cal(please check)

    I have to find the width of a river which is represented by a right trianle. The opposite side is labeled w and the adjacent side is 1oo ft. Theta is 54 degrees. Would my equation be opp = adjacent/cos(54)?

    asked by Hannah on March 23, 2010
  92. Math

    A point is sliding along a curve y^2 = 1 + cos^3(2x) at whatever speed (even depending on time). Compute the ratio of the rates of change of the vertical and horizontal coordinate with respect to time when the point is at (x, y).

    asked by Bruce on November 12, 2010
  93. Maths, dynamics

    a box slides under gravity down a flat slope 3 m long. Coefficient of sliding friction is 0.2. Show that the speed of the box at the bottom of the slope is given by sqrt(6g(sin - 0.2 cos) Thanks!

    asked by Anon on April 6, 2017
  94. Calculus

    h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. For what values of a will h(x) have a relative maximum at x=1? So I found the derivative and got h'(x) = 1- asin(ax). Then I plugged in 1 for x and set the derivative equal to zero, so

    asked by ashley on May 1, 2015
  95. physics

    The equation of motion of a simple harmonic oscillator is given by x(t) = (9.0 cm)cos(12πt) − (5.4 cm)sin(12πt), where t is in seconds. (a) Find the amplitude. Determine the period. (c) Determine the initial phase.

    asked by Anonymous on April 29, 2018
  96. Trigonometry

    Solve the following trig equations. Give all positive values of the angle between 0 degrees and 360 degrees that will satisfy each. Give any approximate value to the nearest minute only. 3 sin è - 4 cos è = 2 Can you please help me with this one.

    asked by anon on March 3, 2011
  97. 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

    asked by George on January 15, 2010
  98. trig

    Given csc theta= 4, cot theta < 0 Find the exact values of cos theta and tan theta

    asked by J on February 11, 2014
  99. Trigonometry

    Evaluate please: a.) arcsin(sin 13pi/16) b.) arccos(cos[-pi/18]) c.) arcsin(sin pi/18 d.) arcsec(-√2) e.) arctan(-√3/3)

    asked by Liv on November 26, 2016
  100. Physics

    The position of a mass oscillating on a spring is given by x = (7.0 cm) cos [2πt/(0.71 s)]. (a) What is the frequency of this motion? (b) When is the mass first at the position x = -7.0 cm?

    asked by Yadan Valeton on March 22, 2015

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