# 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:

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

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)

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)

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

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

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

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

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