can you prove this equation for me? sin2x X sec2x = 2sinx

36,380 results
  1. Calculus

    Let f be the function defined by f(x)=2sinx+cosx ? The average rate of change of f over the interval [0,b] is 0.05, where b>0 . Which of the following is an equation that could be used to find the value of b? A) f(b)=0.05 B) f(b)−f(0)=0.05 C:

  2. advanced function

    pls. help: prove the identity sin2x+sin2y=2sin(x+y)cos(x-y)

  3. Adv function

    Express sec2x in terms of tanx and secx I know you have to sec(2x) = 1/cos(2x) = 1/(cos²x - sin²x) But how do you split that. Like how to simplify that?

  4. Trigonometry

    Prove: 1-tanx/1+tanx=1-sin2x/cos2x

  5. Pre-calculus

    prove the identity sin2x-sin2y/sin2x+sin2y=tan(x-y)/tan(x+y)

  6. trigonometry

    Prove: tan2x+sec2x = cosx+sinx/ cosx-sinx

  7. math;)

    The equation 2sinx+sqrt(3)cotx=sinx is partially solved below. 2sinx+sqrt(3)cotx=sinx sinx(2sinx+sqrt(3)cotx)=sinx(sinx) 2sin^2x+sqrt(3)cosx=sin^2x sin^2x+sqrt(3)cosx=0 Which of the following steps could be included in the completed solution? a.

  8. a math

    Prove cotx-1/cotx+1 = sec2x - tan2x I prove till cotx-1/cotx+1 =1/1+tanx - tanx/1+tanx

  9. Math - derivatives of cos and sin fucntions

    a) Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum value. b) Is there more than one solution? Explain.

  10. Calculus

    Determine the concavity and find the points of inflection. y=2cosx + sin2x 0≤x≤2pi y'=-2sinx + 2cos2x y"=-2cosx-4sinx How do I find the IP(s)?

  11. trigonometry

    if sin2x=3sin2y, prove that: 2tan(x-y)=tan(x+y) ( here, in sin2x, 2x is an angle., like there's a formula:sin2x=2sinxcosx and sin2y=2sinycosy; ....)

  12. maths --plse help me..

    if tangent to the curve y=2sinx +sin2x are drawn at p(x=60degree) then find the area of the quadrilateral formed by the tangent the normal at P and the coordinate axis

  13. trig

    sinx = 4/5 and x terminates in Quadrant II Find sin2x and cos2x How to get the answers, which are sin2x = -24/25, cos2x = -7/25?

  14. Calculus

    Find the equation of the tangent line to the curve y=2sinx at the point ((pi/6), 1). The equation of the tangent line can be written in y=mx+b form, where m=sqrt3. What is b?

  15. trigonometry

    prove: sinx/sec2x+cosx/csc2x=sin3x

  16. Maths

    Prove that sin2x+cos2x-1/sin2x+cos2x+1=tanx

  17. trig

    tanx = 5/12 and sinx

  18. Trigonometry

    Let's solve this fun trigonometric fun math problem! 1.) SEC²X-1/SIN²X

  19. Math

    Prove 1+sec2x / tan2x = cotx

  20. Calc

    This problem is really weird. I have to explain why MVT applies for f(x)=2sinx-sin2x on the closed interval 7pi,8pi and then determine all values of c in the interval (7pi,8pi) that satisfies the conclusion of the theorem. However, the condition of MVT is

  21. trigonometry

    Been trying this forever so it says: Simplify 1+sin2x+cos2x/1+sin2x-cos2x ive tried this problem so many times I need help with it...

  22. calculus

    For what values of a and b is the following equation true? Below is the equation ( (sin2x)/ x^3 + a + b/(x^2)) lim x--->0 a= b=

  23. Math

    can you prove this equation for me? sin2x X sec2x = 2sinx

  24. maths

    If Sin2x=3sin2y then prove: 2tan(x-y)= tan(x+y)

  25. maths

    by equating the coefficients of sin x and cos x , or otherwise, find constants A and B satisfying the identity. A(2sinx + cosx) + B(2cosx - sinx) = sinx + 8cosx I got A = 2, B = 3, which the answers said were correct. However, another part of the question

  26. calc

    Where do I start to prove this identity: sinx/cosx= 1-cos2x/sin2x please help!! Hint: Fractions are evil. Get rid of them. Well, cos2x = cos2x - sin2x, so 1-coscx = 1 - cos2x - sin2x = 1 - cos2x + sin2x You should be able to simplify this to 2*something

  27. Pre-Calc Help!!!!!!!!

    1+sin2x/sin2x=1+1/2(secx)(cscx)

  28. Mathematics

    Hi there, Can someone help me with the question: "Prove that the value of 7sinx +3cos2x cannot be greater than 5/1/24 for all values of x between 0 degrees and 360 degrees" Thanks lots. =) I've already simplified 7sinx + 3cos2x into (2sinx-3)(3sinx+1).

  29. calculus

    For what values of a and b is the following equation true? ( (sin2x)/ x^3 + a + b/(x^2)) lim x--->0 a= b=

  30. trip

    for sin2x+cosx=0, use double-angle or half-angle formula to simplify the equation and then find all solutions of the equation in the interval (0,2Pie)

  31. Math please help quick

    Which of the following are identities? Check all that apply. (Points : 2) sin2x = 1 - cos2x sin2x - cos2x = 1 tan2x = 1 + sec2x cot2x = csc2x - 1 Question 4. 4. Which of the following equations are identities? Check all that apply. (Points : 2) Question 5.

  32. math

    how do i prove the graph of a linear equation is a line? i know the slope between every point should be the same but idk how to prove it with letters. the equation is y=3/2x-9/2 but it should work with any equation i guess.

  33. trig

    Verify the trigonometric identity: [(1–sin²x)/sin²x]–[(csc²x–1)/cos²x]= -tan²x I still can't figure this out.

  34. calculus

    How do you prove that the total area of a four-petaled rose r=sin2x is equal to one-half the area of the circumscribed circle?

  35. Calculus

    Evaluate using integration by parts, substitution, or both if necessary. the intergral of cos 2x ln(sin 2x) dx My work: w= sin2x dw= 2cos2xdx 1/2 dw= cos2xdx 1/2 integrsl sign ln(w)dw u= lnw u'= 1/w v= w v'=1 1/2 [(lnw)(w)- integral sign (1/w)(w) dw] 1/2

  36. trigonometry

    Prove cotx-1/cotx+1=1-sin2x/cos2x

  37. calc

    sin2x = (radical 3)/ 2 solve each equation on the interval [0,2pi)

  38. Trigonometry

    Verify the identity. sin2x/cosx + sinx = 2sinx Solve for all values of x: 6cos2x-7cosx-3=0 If f(x)=cos1/2x-sin2x find the value of f(pi)

  39. calculus please help me

    Let f(x)=9sinx/2sinx+4cosx. Then 'f(x)= ((2sinx+4cosx)(9cosx)-(9sinx)(2cosx-4sinx))/(2sinx+4cosx)^2. The equation of the tangent line to y=f(x) at a=2 can be written in the form y=mx+b where m= 9and b= ______.?????

  40. Math

    Prove the identity csc^2x = 2sec2x / sec2x - 1 Sorry i really tried. I got : LS = 1 - (cos^2x/sin^2x) but that's it. please help

  41. maths

    hey, i would really appreciate some help solving for x when: sin2x=cosx Use the identity sin 2A = 2sinAcosA so: sin 2x = cos x 2sinxcosx - cosx = 0 cosx(2sinx - 1)=0 cosx = 0 or 2sinx=1, yielding sinx=1/2 from cosx=0 and by looking at the cosine graph, we

  42. Calculus

    Find the derivative of y with respect to x: y=(1+cos²x)^6 y'=6(1+cos²x)^5 How do you derive inside the brackets? The answer says -sin2x, but wouldn't it be -2sinx, using the chain rule.

  43. maths

    prove that 1+sin2x-cos2x / sin2x+cos2x = tanx

  44. MATHEMATICS

    what is the exact value of 1-2sin(15degrees)? also 2(sin2x)=2sinx solve it for 0

  45. MATHS

    pROVE THAT (cotx - tan x)cosx=cosec1x-2sinx

  46. trig

    if sin2x=3sin2y, prove that: 2tan(x-y)=tan(x+y)

  47. calculus

    d/dx(e^sinx2x)= a)-cos2xe^sinx2x b)cosxe^sin2x c)2e^sin2x d)2cos2xe^sin2x e)-2cos2xe^sin2x

  48. College Math : Linear Algebra

    Suppose A is a square matrix satisfying the equation A^3 - 2I = 0. Prove that A and (A - I) respectively are invertible. (the hint is to find an explicit equation for A^-1. To prove A is invertible, this is what I did although I don't that it's right: A^3

  49. Math

    Given that f(x) = 2sinx - cosx - Write f(x) in the form Asin(x+a) - Find the maximum value of 2sinx - cosx - Find the lowest positive value of p such that f(x) = f(x + p) Thankyou. All help is appreciated. I'm really struggling on this assignment.

  50. Calculus

    Let f(x)=9sinx/2sinx+4cosx Then f'(x)=________ . The equation of the tangent line to y=f(x) at a= pi/2 can be written in the form y=mx+b where m= _____and b=_____

  51. Pre-Calculus

    Find all solutions to the given trigonometric equation in the interval 0, 2𝜋 : sin2x=cos2xsinx

  52. Math

    prove identity Sin2x - sinx/cosx + cos2x= sinx/cosx + 1

  53. math

    Please prove: 2sinx+sin2x = 2sin^3(x)/1-cosx

  54. math

    prove: 2sinx+sin2x = 2sin^3(x)/1-cosx

  55. Trigonometry

    Verify the identities algebraically. 1.) TAN^5 X= TAN³X SEC²X-TAN³X 2.) COS³X SIN²X= (SIN²X-SIN^4X)COS X

  56. Precalculus

    Determine the solutions to the equation 2sinx − cos2x = sin2x for 0 ≤ x ≤ 2π . How do I start this question?

  57. Mathematics-Integration

    Question: Prove that [integrate {x*sin2x*sin[π/2*cos x]} dx] /(2x-π) } from (0-π) = [ integrate {sin x*cos x*sin[π/2*cos x} dx ] from (0-π). My thoughts on the question: We know that integrate f(x) dx from (0-a) = integrate f(a-x) dx from (0-a) From

  58. Advanced Functions/Precalculus

    Trigonometry Questions 1. Solve the equation sin2x+1=-2sinx for 0≤x≤2π 2. Solve the equation 7sin2x-4sin2x/cosx=-1 where 0≤x≤2π 3. Determine the exact value of cos2(theta) when tan(theta)=3/4 and π

  59. trig identites

    since sin2x+√3cos2x=2sin(2x+60) find the general solution for the equation sin2x+√3cosx=0 thank you

  60. calculus

    im having so much trouble figuring out how to get these answers. i already know the answers i just need to figure out how to get them... directions: find the points of inflection and discuss the concavity of the graph of the function... 1.

  61. maths

    Prove Cos (x+60)= 2Sinx

  62. Trigonometry

    Verify the identities. 1.) √1-COSθ/1+COSθ= 1+SINθ/SINθ 2.) SEC X SIN(π/2-X)= 1 3.) CSC X(CSC X-SIN X)+SIN X-COS X/SIN X + COT X= CSC²X 4.) CSC^4 X-2 CSC²X+1= COT^4 X 5.) CSC^4 θ-COT^4 θ= 2 CSC²θ-1 6.) TAN^5 X= TAN³X SEC²X-TAN³X 7.) COS³X

  63. maths

    prove that(cotx-tanx)cosx=cosec1x-2sinx

  64. pre-cal

    find all solutions in interval [0,2pi] tan²x = -3/2 secx This question may look tricky, but its actually quite simple. First: rearrange the pythagorean identity tan²x+1=sin²x so that it reads tan²x=sin²x-1 Then replace the tan²x in the original

  65. Pre-Calc/Math

    Prove Identity: (1-cos2x/ tan x) = sin2x

  66. math

    Prove the identity (sinx+cosx)^2 = 1+sin2x Thank you

  67. Math

    How do you prove this identity? cos2x*tan(π\4-x)= 1-sin2x

  68. Precalc

    Prove: sin2x*sinx/2cosx + cos^2 0 = 1

  69. Math

    Required to Prove the following trig identity: (cos2x)^2 + (sin2x)^2 = 1

  70. gr 12. advanced functions

    Trig identity Prove: cos2x tan(pie/4 - x) ------- = 1 + sin2x

  71. trig

    on the same set of axes: (0 degrees is greater than or equal to x and x is less than or equal to 360 degrees) (a) sketch the graphs of y= sin degrees ,y=2sinx degrees and y=sin2x degrees

  72. advanced functions

    Prove that 2sinxsiny = cos(x-y) - cos(x+y) Prove that sin2x + sin2y = 2sin(x+y)cos(x-y)

  73. math

    I have to find an exact solutions on the interval [0,pi) for both of these problems-- 1) 2sin2x = sqrtx and 2) 1-2sqrt2 sinxcosx = 0 I know this much: 1) sin2x = (sqrt x)/2 = 2sinxcosx = (sqrt x)/2 What do I need to do next? 2) 1/(2 sqrt2) = sinxcosx =

  74. Math

    prove sin2x+cos2x+1 tan(pi/4+x) ______________ = __________ sin2x+cos2x-1 tanx so what I did tan(x) (1+cos(2x)+sin(2x)=tan(pi/4+x) (-1+cos(2x)+sin(2x)

  75. math

    um take home test...i have no idea what im doing always sometimes never 1. sin2x=2sinx 2. cos (pie/3+x)=-sinx 3. if tan x=3 and tan y=2 then tan (x+y)=5 4. when you use the half angle formulas you choose whether to use a + or - by noting in which quadrant

  76. Trigonometry

    Solve for x in the interval 0

  77. Trig (Last URGENT)

    sin2x+cosx=0 , [-180,180) = 2sinxcosx+cosx=0 = cosx(2sinx+1)=0 cosx=0 x1=cos^-1(0) x1=90 x2=360-90 x2=270 270 doesn't fit in [-180,180) what do I do? Or maybe I did something wrong. sinx=1/2 x1=sin^-1(1/2) x1=30 x2=180-30 x2=150 is this correct? Please and

  78. trig

    Verify the trigonometric identity: [(1–sin²x)/sin²x]–[(csc²x–1)/cos²x]= -tan²x I can't figure this out.

  79. Trig help

    Can someone help me find ALL solutions in the interval [0,2π) for the given equations. Please show work. 1) sin2x = sin2x 2) tan2x +tanx = 0

  80. math

    sin2x − cos2x − tan2x = 2sin2x − 2sin4x − 1/ 1 − sin2x for x = 45

  81. Calculus grade 12

    Determine the derivative of the function (² = square): a) y = (x² + x - 1)Sin²x b) y = (x² + 1)/Sin²x

  82. MATH

    Solve the equation for ex, where 0

  83. Calc

    First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cos³x e^(1-sin²x) dx I was going to substitute u= 1 - sin²x, but then i got du = ½ sinxcosx - ½ xdx, so im stuck. Thank you so

  84. calc

    f'(x)=(24)/((2sinx+6cosx)^2) find equation of line y=mx+b

  85. Math

    Find the solutions of the equation. 2sinx+cosx=0

  86. trig

    (sec6x+sin2x)/(sin6x-sin2x)=tan4xcot2x

  87. trig

    Solve the triginometric equation analytically. Use values of x for 0 less then or equal to x less then 2pi The equation for this question is sin2x + cos2x = 0

  88. Precalculus

    Find all the solutions of the equation 2sin2xcos-2sinx=0 over the interval -pi/2

  89. math

    My math teacher wants us to prove that all of our answers are correct. But how am I supposed to be able to prove stuff, like this, for example. The directions want you to write out the words in to an equation. Seven is the sum of X and 5. so my answer is

  90. calculus

    Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum

  91. math,help

    this other one how can i actually prove it if this is the equation to use. the problem states: Prove that if a line has slope ma nd y-intercept b, then an equation of th eline is y=mx+b. then it says (Hint: use the point-slope equation theorem) I've looked

  92. Maths Derivatives & Calulus

    1) Find d^2y / dx^2 given that y^3 - x^2 = 4 2)If y = xª + ( 1 / xª ) , prove that x^2 . y'' + xy' – a^2 . y = 0 3) Find dy/dx for the following function. cos ( x - y ) = ( y ) ( 2x + 1 ) ^3 4)Find the values of A and B that make f(x) differentiable at

  93. Calculus

    Solve identity, (1-sin2x)/cos2x = cos2x/(1+sin2x) I tried starting from the right side, RS: =(cos²x-sin²x)/(1+2sinxcosx) =(cos²x-(1-cos²x))/(1+2sinxcosx) and the right side just goes in circle. May I get a hint to start off?

  94. calculus

    f(x)= 1/4 * (sin2x)^2 find dy/dx d/dx (1/4 * (sin2x)^2)= (sin2xcos2x)/ 2 ?

  95. Trig

    Prove the following functions: (sinx+sin2x)/(1+cosx+cos2x)=tan x (cos3x/sinx)+(sin3x/cosx)=2cot2x tan2x=(2/cotx-tanx) theses are due in the am. Fastness would be great?

  96. CACULUS

    THE VALUES OF X THAT ARE SOLUTIONS TO THE EQUATION [COSX]^2 = SIN2X IN THE INTERVAL 0 TO PI??

  97. Maths

    Evaluate ∫▒√tan x sec2x dx

  98. trig

    Solve the given triginometric equation analytically. Use values of of x for 0 less than or equal to x less than 2pi sin^2x - 2sinx = 1 How do I get towards the answer of 3.569, 5.856 Thank you again

  99. PreCalculus

    Find all solutions to the given trigonometric equation in the interval 0, 2𝜋 : sin2x=cos2xsinx

  100. Physic

    From equation x= A sin wt, prove that the acceleration of SHM is a= -w^2x w is omega actually.. 2.using relationship between velocity, v and displacement, x prove that v=w(A^2-x^2)^1/2

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