Questions and answers by

Kewal

Questions (53)

If A + B + C = 180°, Prove thatSin² (A/2) + sin² (B/2) - sin²(C/2) = 1 – 2cos (A/2) cos (B/2) sin(C/2)
1. 0 answers
2. 565 views
If A + B + C = 180°, Prove thatSin² (A/2) + sin² (B/2) + sin²(C/2) = 1 – 2sin (A/2) sin (B/2) sin(C/2)
1. 0 answers
2. 472 views
If A + B + C = 180°, Prove thatCos²A + Cos²B - Cos²C = 1 – 2sinAsinBcosC
1. 1 answer
2. 667 views
If A + B + C = 180°, Prove thatCos²A + Cos²B + Cos²C = 1-2cosAcosBcosC
1. 2 answers
2. 10,679 views
If A + B + C = 180° prove thatcos2A + cos2B – cos2C = -1 -4cosAcosBcosC
1. 0 answers
2. 475 views
If A + B + C = 180° prove thatSin2A + sin2B – sin2C = 4cosAcosBsinC
1. 1 answer
2. 939 views
Show that the coefficient of the middle term of(1+x)power2n is equal to the sum of thecoefficients of the two middle terms of
1. 1 answer
2. 555 views
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 =
1. 0 answers
2. 418 views
From a given point (h,k) perpendiculars are drawn to the axis whose inclination is w andtheir feet are joined.Prove that the
1. 0 answers
2. 430 views
The coordinates of a point P referred to axis meeting at an angle w are (h,k). Provethat the length of the straight line joining
1. 0 answers
2. 420 views
Find the equation to and the length of the perpendicular drawn from the point(1,1) uponthe straight line 3x + 4y + 5 = 0. The
1. 0 answers
2. 547 views
Find the length of the perpendicular drawn from the point(4,-3) upon the straight line6x + 3y - 10 = 0. The angle between the
1. 0 answers
2. 398 views
The axes being inclined at an angle of 30°, find the equation to the straight linewhich passes through the point(-2,3) and is
1. 1 answer
2. 994 views
From each corner of a parallelogram a perpendicular is drawn upon the diagonal whichdoes not pass through that corner and these
1. 0 answers
2. 604 views
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
1. 0 answers
2. 447 views
Prove that the equation to a straight line which passes through the point (h,k) and isperpendicular to the axis of x is x +
1. 1 answer
2. 891 views
If y = xtan(11π/24) and y = xtan(19π/24) represents two straight lines at right angles,prove that the angle between the axis
1. 1 answer
2. 685 views
With oblique coordinates find the tangent of the angle between the straight linesy = mx + c my + x = d
1. 0 answers
2. 380 views
IfA=340°, prove that2cosA/2 = -(v1+sinA) - (v1-sinA)
1. 2 answers
2. 526 views
IfA=340°, prove that2sinA/2 = -(v1+sinA) + (v1-sinA)
1. 1 answer
2. 928 views
Prove that(tan4A + tan2A)(1-tan²3Atan²A) = 2tan3Asec²A
1. 2 answers
2. 805 views
cos2Acos2B + sin²(A-B) - sin²(A+B) = cos(2A+2B)
1. 1 answer
2. 1,868 views
cos²a + cos²(a+120°) + cos(a-120°) = 3/2
1. 1 answer
2. 1,465 views
If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2
1. 3 answers
2. 3,383 views
Prove thattan2A = (sec2A+1)√sec²A-1
1. 3 answers
2. 1,150 views
Prove thatsin3A+sin2A-sinA = 4sinAcosA/2cos3A/2
1. 1 answer
2. 896 views
Prove thatsin(n+1)A-sin(n-1)A/cos(n+1)A+2cosnA+cos(n-1)A = tanA/2
1. 0 answers
2. 503 views
Prove thatsin²A-sin²B/sinAcosA-sinBcosB = tan(A+B)
1. 0 answers
2. 759 views
Prove thatsec8A-1/sec4A-1 = tan8A/tan2A
1. 0 answers
2. 670 views
Prove that1-cosA+cosB-cos(A+B)/1+cosA-cosB-cos(A+B) = tanA/2cotA/2
1. 3 answers
2. 1,723 views
Prove that1 + tanAtanA/2 = tanAcotA/2 -1 = secA
1. 1 answer
2. 1,078 views
sinAsin2A+sin3Asin6A+sin4Asin13A/sinAcos2A+sin3Acos6A+sin4Acos13A = tan9A
1. 2 answers
2. 1,769 views
Write a function that takes an int argument and doubles it. The function does not return a value.
1. 0 answers
2. 586 views
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
1. 1 answer
2. 538 views
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
1. 0 answers
2. 1,110 views
Simplifysin{A + (n+1/2)B} + sin{A+(n+1/2)}
1. 0 answers
2. 364 views
Simplifycos{A + (n-3/2)B} - cos{A+ (n+3/2)B}
1. 0 answers
2. 361 views
Prove thatsin50° - sin70° + sin10° = 0
1. 0 answers
2. 477 views
Prove thatcos(-A+B+C) + cos(A-B+C) + cos(A+B-C) + cos(A+B+C) = 4cosAcosBcosC
1. 0 answers
2. 588 views
Prove thatcos(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
1. 1 answer
2. 373 views
Prove thatcos(A+B) + sin(A-B) = 2sin(45°+A)cos(45°+B)
1. 2 answers
2. 3,965 views
Prove thatsin(n+1)Asin(n+2)A + cos(n+1)Acos(n+2)A = cosA
1. 1 answer
2. 479 views
Prove thatsin(n+1)Asin(n-1)A + cos(n+1)Acos(n-1)A = cos2A
1. 1 answer
2. 1,179 views
Prove thatcos(A+B)cosC - cos(B+C)cosA = sinBsin(C-A)
1. 1 answer
2. 2,107 views
Prove thatsin(A-B)/cosAcosB + sin(B-C)/cosBcosC + sin(C-A)/cosCcosA = 0
1. 3 answers
2. 1,586 views
Find all the angles between 0° and 90° which satisfy the equationsec²Θcosec²Θ + 2cosec²Θ = 8
1. 1 answer
2. 558 views
Solve the equations for value of xtan mx + cot nx = 0
1. 1 answer
2. 570 views
Solve the equationtan²3Θ = cot²a
1. 3 answers
2. 521 views
Solve the equationtan²3Θ = cot²a
1. 1 answer
2. 449 views
Solve the equationssecΘ - 1 = (√2 - 1)tanΘ
1. 1 answer
2. 575 views
If cospΘ + cosqΘ = o. prove that the different values of Θ form two arithmetical progressions in which the common differences
1. 1 answer
2. 1,796 views
Solve the equationcotΘ-abtanΘ = a-b Answer-tanΘ=1/a or -1/b
1. 1 answer
2. 417 views
How many numbers less than 10000 can be formed by using digits 1,2,3,0,4,5,6,7 ?
1. 2 answers
2. 483 views