# if tanA=ntanX sinA=msinX then prove that cos^2A=(m^2-1)/(n^2-1)

8,303 results
1. ## maths

ifm sin B=nsin(2A+B) prove that(m+n)tanA=(m-n)tan(A+B)

2. ## maths

Prove SinA/1-CosA = CosecA + CotA

3. ## maths

Prove that [1+cotA-CosecA] [1+tanA+secA] = 2

4. ## Trigonometry

If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2

5. ## trig

If point (3, -8) lies on the terminal side of an angle A in standard position, find: a) sinA b) tanA

6. ## Amaths

prove sin(A+B)/sin(A-B)=(tanA+tanB)/(tanA-tanB)

7. ## Trigonometry

Prove that 1-cosA+cosB-cos(A+B)/1+cosA-cosB-cos(A+B) = tanA/2cotA/2

8. ## Maths

Prove sqrt(Sec^2 A+Cosec^2 A)=TanA+CotA

9. ## Math

prove that sinA/(1+cosA) + (1+cosA)/(sinA) = 2cosecA

10. ## math

if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2

11. ## trignometry

prove: sin(a+b)/cosacosb=tana+tanb

12. ## maths

if sinA+cosA=1/5, then a value of tanA/2 satisfies which of the equation? a. 2x^2-x-1 b.x^2-2x-3=0 c.2x^2-5x-3=0 d. 2x^3-7x^2+2x+3=0

13. ## Maths

Cos^2A/sinA-cosecA+sinA=0 Prove lHS =RHS

14. ## trigonometry

Prove : 1 + Sin2A/ Cos2A = CosA + SinA / CosA- SinA

15. ## trig help

verify that cos(A-B)/cosAsinB=tanA+cotB is an identity

16. ## maths(trigonometry)

prove that sinA-cosA+1/sinA+cosA-1=1/secA-tanA

17. ## further mathematics

Let P=(cosA sinA) (sinA cosA) Q=(cosB sinA) (sinB cosA) show that PQ=(cosA(A-B) sin(A B)) (sinA(A B) cos(A-B))

18. ## maths Pls help trig

1 .If tanA=1/3 and tanB=1/7 (both A and B are acute),calculate 50sin(2A +B) 2.1Prove that sin2A+2cosA-2cos^3A/1+sinA =sin2A 2.2 for which values of A in the interval[-360;360] is the identity in 2.1 undefined? 3.If tanB=3/4 , 0

19. ## Maths

If tan inverse(x^2-y^2/x^2+y^2)=a then prove that dy/dx=x/y (1-tana/1+tana).

20. ## Math

Hello I am having trouble with proving this: sinA/secA+secA/cscA = tan(A)(2-sin^2(A)) So far I've gotten SinA/(1/cosA) + (1/cosA)/(1/sinA) SinACosA + sinA/cosA I am stuck here, not even sure if multiplying by the reciprocal was the right step..

21. ## maths (trigonometry)

please solve these if possible Q1. If sinx +siny=3(cosy-cosx) then the value of sin3x/sin3y. Q2. If sina ,cosa,and tan a are in g.p.then cos cubea+cos square a is equal to

22. ## 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 =

23. ## Trig

Draw a picture and show all work. Given sinA=4/5 and cosA

24. ## math (trig)

i have some problems doing trig the first one is: Show that cos(x/2) sin(3x/2) = ½(sinx + sin2x) i know that you are supposed to substitute all those trig function things in it but i kind of forgot how to the only that i can see substituting in is the

25. ## trig

I need to prove equality. a) (sina + cosa)^2 -1 / ctga - sinacosa = 2tg^2a b) (sin^2x/sinx-cosx) - (sinx+cosx/tg^2x+1) = sinx + cosx c) sin^4a - sin^2a - cos^4a + cos^2a = cosπ/2 How to do these?

26. ## algebra

i have a problem in dis sum from complex numbers prove that (1+sinA+icosA)/(1-sinA-icosA)=i(secA+tanA)

27. ## trigonometry

x×sin^3A=y , cos^3A = sinA × cosA , x×sinA= y×cosA , then prove that x^2+ y^2= 1 I have no idea

28. ## Trigonometry

Prove that sin(n+1)A-sin(n-1)A/cos(n+1)A+2cosnA+cos(n-1)A = tanA/2

29. ## Geometry

In a right triangle if sinA=6/7 and cosA=4/7 what is tanA=

30. ## 11

SinA + sinB/sinA - sinB= tanA+B/2cotA-B/2

31. ## Trigonometry

IfA=340°, prove that 2sinA/2 = -(v1+sinA) + (v1-sinA)

32. ## Maths

Prove that [sinA/(1-cosA)-(1-cosA)/sinA]*[cosA/(1+sinA)+(1+sinA)/cosA]=4cosecA I the second part as 2 secA

33. ## math

how do you solve this.prove: cos2A plus cosA divided by sin2A minus sinA equal to cos2A plus 1 divided by sinA

34. ## trigonometry

if secA-tanA =10 than sinA =?,cosA =?,secA =?

35. ## trigonometry help me

6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan w sin w + cos w tan w = cos w-cot w cos w 23.Find a counterexample to shows that the equation sec a – cos

36. ## trignonmetry

6. Prove that tan λ cos^2 λ + sin^2λ/sin λ = cos λ + sin λ 10. Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan w sin w + cos w tan w = cos w-cot w cos w 23. Find a counterexample to shows that the equation sec

37. ## Maths

How do I do this Need details solution to follow up prove that cos(a)+cos(a+b)+cos(a+2b)+....+cos(a+(n-1)b)={cos(a+((n-1)/2)bsin(nB/2)}/½sinb for all N£N

38. ## Trigonometric Identities

Verify/prove that: (cotA+cotB)/(tanA+tanB)+(1-cotAcotB)/(1-tanAtanB) = 0

39. ## math

prove that 1-tan 4 A by1+tan 4 A =cosA + sinA by cosA - sinA

40. ## Mathematics - Trigonometric Identities

Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y +

41. ## mathematics trignometry

if tanA=ntanX sinA=msinX then prove that cos^2A=(m^2-1)/(n^2-1)

42. ## Trigonometric Identities

Verify/prove the following: (sinA+tanA)/(1+secA) = sinA ______________________________ tanu = 1+sinu-cos^2u/cosu(1+sinu) __________________________________ cotu = (2+cscu/secu)-2cosu ______________________________ tanAsinA/tanA+sinA = tanA-sinA/tanAsinA

43. ## Trig

Please help with this one. I've worked it out in so many ways and can't tell what's correct. sinA sinA ----- - ------ 1+sinA 1-sinA Which answer is correct for the problem above? a) 1+cotA b) sinA tanA c) -2tan^2A d) secA cscA common denominator: 1-sin^2 A

44. ## Maths

Prove: 1+(TanA/SinB)^2/1+(TanA/SinC)^2 = 1+(SinA/TanB)^2/1+(SinA/TanC)^2

45. ## MathS triG

1 .If tanA=1/3 and tanB=1/7 (both A and B are acute),calculate 50sin(2A +B) 2.1Prove that sin2A+2cosA-2cos^3A/1+sinA =sin2A 2.2 for which values of A in the interval[-360;360] is the identity in 2.1 undefined? 3.If tanB=3/4 , 0

46. ## Maths

Hi, can someone give me the answer to this question: secA-tanA=1/4. Find cosA I got: CosA=4(1-sinA) Is my answer good? Now multply each side by (1+sinA) CosA(1+sinA)=4 cos^2 A CosA=1/4 (1+sinA) 16(1-sinA)=1+sinA 15=17SinA So you have sinA, now find Cos A

47. ## Trig

prove that tanA divided by the sinA equals the secA

48. ## Trigonometric Identities

Verify/prove that: sinAcosA/1-cosA = sin^2/tanA-sinA

49. ## math

12. IF 1/SinA+1/CosA=1/SinB+1/CosB ,PROVE THAT: Cot{(A+B)/2}=TanA.TanB

50. ## Math

If 1/sinA+1/cosA =1/sinB+1/cosB, prove that: cot(A/2+B/2) = TanA. TanB

51. ## math

if tanA=root2-1, prove that (secA.sinA tan squareA-cosecA) =(12-¡Ì5)/2

53. ## Trigonomentry plz help

tanA=ntanB sinA=msinB find cos^2A in terms of 'm' and 'n' plz help

54. ## dr.khastagir govt girls high school

tanA+sinA=p, tanA-sinA=q shows that p^2+q^2

55. ## trig

if 5cos A plus 3=0 and 180

56. ## mathematics trignometry

if sina, cosa, tana are in geometric progression then prove that cot^6a-cot^2a=1

57. ## trig

if sina,cosa,tana are in geometric progression then prove that cot^6a-cot^2a=1

58. ## mathematics trignometry

prove that the following are identity 1. (cotA+cosecA-1)/(cotA-cosecA+1)=cosecA+cotA 2. (sinA-cosA+1)/(sinA+cosA-1)= 1/(secA-tanA)

59. ## trig

Establish the following identity: CosA/1-TanA + SinA/1-CotA = CosA-SinA

60. ## maths trigo

prove that sin(n+1)A-sin(n-1)A/cos(n+1)A+2cos(nA)+cos(n-1)A=tanA/2

61. ## Math

In any angle ABC prove that the perimeter = a/Sin A(Sin A + Sin B + Sin C) Start with perimeter = a+b+c but b= aSinB/sinA and c= aSinC/SinA and if you don't remember, a=a=a*SinA/ SinA

62. ## math

Determine exact value of cos(cos^-1(19 pi)). is this the cos (a+b)= cos a cos b- sina sin b? or is it something different. When plugging it in the calculator, do we enter it with cos and then the (cos^-1(19 pi)).

63. ## trigonometry

If sinA+tanA=p then sin2A?

64. ## math

(secA+tanA)(1-sinA)

65. ## Pre-Calculus

How can the following two identities be verified? 1. (cos^2y)/(1-siny)=1+siny 2. sin^2a-sin^4a=cos^2a-cos^4a Thanks! change cos^2a to 1-sin^2a=(1-sina)(1+sina) Thank you. I figured out the first one with your help, but I'm still stuck on the second. Any

66. ## trig

determine wheather each of the following is an identity or not prove it 1. cos^2a+sec^2a=2+sina 2. cot^2a+cosa=sin^2a

67. ## Math

If sinA+sinB=1/2 and cosA+cosB=1/2 then the value of tanA+tanB

68. ## Maths

TanA=√2-1 then find secA.sinA+tan^2A-cosecA

69. ## Trig

IfA=340°, prove that 2cosA/2 = -(v1+sinA) - (v1-sinA)

70. ## Trig

Draw a picture and show all work. Given cosA=3/10 and tanA

71. ## trig

express the trig. ratios sinA,secA n tanA in terms of cotA.

72. ## physics

the velocity ratio of an inclined plane whose angle is a I a). VR=1/sinA b). VR=1/tanA c). VR=1/cosA d). VR=1/cotA?

73. ## trig

Prove that sin(A+B+C+)cos(B+C)-cos(A+B+C)sin(B+C)=sinA

74. ## TRIG!

Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 x = (sin^2x)^3 +

75. ## Math

CosA/1+sinA=1-sinA/cosA I have to prove the identity each side has to b the same how would i do that? I have a unit test on monday so im doing practice questions

76. ## MATH

Hi, I really need help with these questions. I did some of them halfway, but then I got stuck. Would you please help me? Thank you so much. Prove the identity.... 1. sec x + tan x(1-sin x/cos x)=1 1/cos x + sin x/cos x(cos^2 x/cos x)=1 1+sin x/cos

77. ## Math

Prove the identity: tanA/secA+1 = secA-1/tanA Can u please explainit to me step by step? I greatly appreciate your help! Thanks:)

78. ## Trigonometry desperate help, clueless girl here

2. solve cos 2x-3sin x cos 2x=0 for the principal values to two decimal places. 3. solve tan^2 + tan x-1= 0 for the principal values to two decimal places. 4. Prove that tan^2(x) -1 + cos^2(x) = tan^2(x) sin^2 (x). 5.Prove that tan(x) sin(x) + cos(x)=

79. ## Trigonometry

1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two decimal places. 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan w sin w + cos w tan w =

80. ## Trig

I don't know the physics behind Snell's Law, but I can do the math Snell's Law says sin(angle of incidence)/sin(angle of reflection) = refractive index since you know the two angles... sin45/sin27 = refractive index =1.5575365 so for an angle of refection

81. ## trig

prove that :cosA-sinA+1/cosA+sinA-1=cosecA+cotA

82. ## trig help much appreciated! :))

1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove that tan2  – 1 + cos2 

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

84. ## trigo math

7. Prove that tan B sin B + cos B = sec B. 11. Prove that tanλ cos^2λ +sin^2λ/sinλ = cos λ + sin λ. 12. Prove that 1+tanθ/1+tanθ = sec^2θ+2tanθ/ 1-tan^2θ. 21. Prove that sin^2w-cos^2w/ tan w sin w + cos w tan w = cos w – cot w cos w.

85. ## Maths:Trigonometry

How do I do this Need details solution to follow up prove that cos(a)+cos(a+b)+cos(a+2b)+....+cos(a+(n-1)b)={cos(a+((n-1)/2)bsin(nB/2)}/½sinb for all N£N ???

86. ## Amaths

prove tanA+tanB=sin(A+B)/cosAcosB

87. ## Tc Maths

Prove: TanA+2Tan2A+4Tan4A+8Cot8A=CotA

88. ## math urgent

Prove: TanA+2Tan2A+4Tan4A+8Cot8A=CotA

89. ## math

Prove: tanA+2tan2A+4tan4A+8cot8A=cotA

90. ## Math- Trig

1. Determine the exact value of cos^-1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^-1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^-1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^-1(20

91. ## Algebra II/ Trig

Should the triangle be solved beginning with Laws of Sines or Laws of Cosines. Then solve the triangle and round to the nearest tenth. a=16, b=13, c=10 I got this answer but it is wrong and don't understand where I made the mistake. a=16, b=13, c=10

92. ## Trig

verify the following identity: cos(A-B)/cosAsinB=tanA+cotB

93. ## trig

I need to count this: a) 1-tg^2a/1+ctg^2a, when sina =2/3 b) 1-tg^2a/1-ctg^2a, when cosa= -1/3 c) tga * cos^2a, when sina + cosa=5/7 d) tg^2a + 1/sina * 1/cosa + ctg^2a, when tga + ctga =5

94. ## trig

How to do this one? (sina/1-cosa) + (1-cosa/sina) = Also, wanted to ask if I did another one right: 1 - sin^2a + tg^2a * cos^2a = 1 - sin^2a + (sina/cosa)^2 * cos^2a = 1 - sin^2a + sin^2a = 1 ???

95. ## Math trigonometry

Prove sinA/1+cosA =tan1/2A

96. ## algebra

prove that cosA/1-sinA=2cosecA

97. ## maths

prove that secA(1-sinA)-2tanA=1

98. ## trig

Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

99. ## trig

Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA

100. ## math

if A+B+C=180degrees, prove that 2sin(B+C)sinA=1-cos2A