Kewal

Most popular questions and responses by Kewal
  1. Trigonometry

    If A + B + C = 180°, Prove that Cos²A + Cos²B + Cos²C = 1-2cosAcosBcosC

    asked on February 10, 2012
  2. Trigonometry

    Prove that cos(A+B) + sin(A-B) = 2sin(45°+A)cos(45°+B)

    asked on December 31, 2011
  3. Trigonometry

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

    asked on January 9, 2012
  4. Trigonometry

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

    asked on January 4, 2012
  5. Trigonometry

    Prove that sin(A-B)/cosAcosB + sin(B-C)/cosBcosC + sin(C-A)/cosCcosA = 0

    asked on December 30, 2011
  6. Trigonometry

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

    asked on January 12, 2012
  7. Trigonometry

    Prove that cos(A+B)cosC - cos(B+C)cosA = sinBsin(C-A)

    asked on December 30, 2011
  8. Trigonometry

    cos²a + cos²(a+120°) + cos(a-120°) = 3/2

    asked on January 12, 2012
  9. Trig

    sinAsin2A+sin3Asin6A+sin4Asin13A/sinAcos2A+sin3Acos6A+sin4Acos13A = tan9A

    asked on January 2, 2012
  10. Trigonometry

    If A + B + C = 180° prove that Sin2A + sin2B – sin2C = 4cosAcosBsinC

    asked on February 7, 2012
  11. Trig

    Prove that 1 + tanAtanA/2 = tanAcotA/2 -1 = secA

    asked on January 3, 2012
  12. Trigonometry

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

    asked on January 12, 2012
  13. Trigonometry

    If A + B + C = 180°, Prove that Cos²A + Cos²B - Cos²C = 1 – 2sinAsinBcosC

    asked on February 10, 2012
  14. C++

    Write a function that takes an int argument and doubles it. The function does not return a value.

    asked on January 2, 2012
  15. Physics

    A hemispherical bowl of radius R is rotated about its axis of symmetry which is kept vertical. A small block is kept in the bowl at a position where the radius makes an angle Θ with the vertical. The block rotates with the bowl without any slipping. The

    asked on January 2, 2012
  16. Trigonometry

    Prove that sin3A+sin2A-sinA = 4sinAcosA/2cos3A/2

    asked on January 6, 2012
  17. Trigonometry

    Prove that sin²A-sin²B/sinAcosA-sinBcosB = tan(A+B)

    asked on January 5, 2012
  18. Trigonometry

    Solve the equations for value of x tan mx + cot nx = 0

    asked on December 28, 2011
  19. Maths

    How many numbers less than 10000 can be formed by using digits 1,2,3,0,4,5,6,7 ?

    asked on December 22, 2011
  20. Trigonometry

    Prove that (tan4A + tan2A)(1-tan²3Atan²A) = 2tan3Asec²A

    asked on January 12, 2012
  21. Trigonometry

    Prove that tan2A = (sec2A+1)√sec²A-1

    asked on January 6, 2012
  22. Trigonometry

    If A + B + C = 180°, Prove that Sin² (A/2) + sin² (B/2) + sin²(C/2) = 1 – 2sin (A/2) sin (B/2) sin(C/2)

    asked on February 10, 2012
  23. Trigonometry

    If A + B + C = 180° prove that cos2A + cos2B – cos2C = -1 -4cosAcosBcosC

    asked on February 7, 2012
  24. Trigonometry

    If cospΘ + cosqΘ = o. prove that the different values of Θ form two arithmetical progressions in which the common differences are 2π/p+q and 2π/p-q respectively.

    asked on December 23, 2011
  25. Trigonometry

    Prove that sin(n+1)Asin(n-1)A + cos(n+1)Acos(n-1)A = cos2A

    asked on December 30, 2011
  26. Trigonometry

    If A + B + C = 180°, Prove that Sin² (A/2) + sin² (B/2) - sin²(C/2) = 1 – 2cos (A/2) cos (B/2) sin(C/2)

    asked on February 10, 2012
  27. Straight Lines

    From a given point (h,k) perpendiculars are drawn to the axis whose inclination is w and their feet are joined.Prove that the length of the perpendicular drawn from(h,k) upon this line is hksin²w/√(h² + k² + 2khcosw) and that its equation is hx - ky =

    asked on January 21, 2012
  28. Straight Lines

    Find the equation to and the length of the perpendicular drawn from the point(1,1) upon the straight line 3x + 4y + 5 = 0. The angle between the axis being 120°.

    asked on January 21, 2012
  29. Straight Lines

    The axes being inclined at an angle of 30°, find the equation to the straight line which passes through the point(-2,3) and is perpendicular to the straight line y + 3x = 6

    asked on January 21, 2012
  30. Straight Lines

    From each corner of a parallelogram a perpendicular is drawn upon the diagonal which does not pass through that corner and these are produced to form another parallelogram, show that its diagonals are perpendicular to the sides of the first parallelogram

    asked on January 21, 2012
  31. Straight Lines

    If y = xtan(11π/24) and y = xtan(19π/24) represents two straight lines at right angles, prove that the angle between the axis is π/4.

    asked on January 21, 2012
  32. Binomial Theoram

    If A be the sum of the odd terms and B the sum of the even terms in the expansion of (x+a)ⁿ. Prove that A² - B² = (x²-a²)ⁿ.

    asked on January 25, 2012
  33. Straight Lines

    Find the length of the perpendicular drawn from the point(4,-3) upon the straight line 6x + 3y - 10 = 0. The angle between the axes being 60°.

    asked on January 21, 2012
  34. Straight Lines

    With oblique coordinates find the tangent of the angle between the straight lines y = mx + c my + x = d

    asked on January 21, 2012
  35. Trig

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

    asked on January 12, 2012
  36. Trigonometry

    Find all the angles between 0° and 90° which satisfy the equation sec²Θcosec²Θ + 2cosec²Θ = 8

    asked on December 28, 2011
  37. Straight Lines

    The coordinates of a point P referred to axis meeting at an angle w are (h,k). Prove that the length of the straight line joining the feet of the perpendiculars from P upon the axes is sinw√(h² + k² 2khcosw)

    asked on January 21, 2012
  38. Physics

    A turn of radius 20m is banked for the vehicles going at a speed of 36km/h. If the coefficient of static friction between road and the tyre is 0.4, what are the possible speeds of a vehicle so that it neither slips down nor skids up ?

    asked on January 2, 2012
  39. Trigonometry

    Solve the equations secΘ - 1 = (√2 - 1)tanΘ

    asked on December 24, 2011
  40. Trigonometry

    Prove that cos(-A+B+C) + cos(A-B+C) + cos(A+B-C) + cos(A+B+C) = 4cosAcosBcosC

    asked on January 1, 2012
  41. Binomial Theoram

    Show that the coefficient of the middle term of(1+x)power2n is equal to the sum of the coefficients of the two middle terms of (1+x)power2n-1.

    asked on January 25, 2012
  42. Straight Lines

    Find the equation to the sides and diagonals of a regular hexagon, two of its sides, which meet in a corner, being the axis of coordinates.

    asked on January 21, 2012
  43. Straight Lines

    Prove that the equation to a straight line which passes through the point (h,k) and is perpendicular to the axis of x is x + ycosΘ = h + kcosΘ

    asked on January 21, 2012
  44. Trigonometry

    Prove that sec8A-1/sec4A-1 = tan8A/tan2A

    asked on January 5, 2012
  45. Trigonometry

    Solve the equation tan²3Θ = cot²a

    asked on December 27, 2011
  46. Trigonometry

    Solve the equation cotΘ-abtanΘ = a-b Answer-tanΘ=1/a or -1/b

    asked on December 23, 2011
  47. Trigonometry

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

    asked on January 1, 2012
  48. Trigonometry

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

    asked on January 5, 2012
  49. Trigonometry

    Simplify sin{A + (n+1/2)B} + sin{A+(n+1/2)}

    asked on January 1, 2012
  50. Trigonometry

    Prove that sin(n+1)Asin(n+2)A + cos(n+1)Acos(n+2)A = cosA

    asked on December 30, 2011
  51. Trigonometry

    Solve the equation tan²3Θ = cot²a

    asked on December 27, 2011
  52. Trigonometry

    Simplify cos{A + (n-3/2)B} - cos{A+ (n+3/2)B}

    asked on January 1, 2012
  53. Trigonometry

    Prove that sin50° - sin70° + sin10° = 0

    asked on January 1, 2012