Kewal

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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.

13 years ago

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

13 years ago

Solve the equation tan²3Θ = cot²a

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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 f...

13 years ago

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 ?

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

Prove that tan2A = (sec2A+1)√sec²A-1

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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.

13 years ago

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

13 years ago

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.

13 years ago

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...

13 years ago

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

13 years ago

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°.

13 years ago

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°.

13 years ago

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)

13 years ago

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 = h²...

13 years ago

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.

13 years ago

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.

13 years ago

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

13 years ago

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

13 years ago

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

13 years ago

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)

13 years ago