Recently Active Trignometry Questions

Prove it: sin-1(1-x) - 2sin-1x = pi/2 ...

A triange has sides a,b,c and altitudes opp. to these sides h1,h2,h3 resp. The max. value of a2/h12+b2/h22+c2/h32 = ? ...

A vertical pole consists of two portions,the lower being 1/3rd of the whole.If the upper portion subtends an angle arctan(1/2) at a point in a horizontal plane through the foot of the plane and distance 40ft from it,then the ...

If x,y,z are respectively sines and p,q,r are respectively the cosines of angles α,β,γ which are in A.P with common difference 2pi/3 ,then 1)x+y+z=? 2)p+q+r=? 3)xy+zx+yz=? ...

prove tan a + tan 2a + tan 3a = tan a . tan 2a . tan 3a my friend gave me from school.. i cant get anything to work on.. this is so tough :( ...

try to prove the following inequality given that a,b,c are positive reals Cyclic[(a^2) / {b(a + 2b)}] >= 1 a harddddddddddddddddd problem not at all easy unless u guys know Cauchy Schwarz inequality ...

1)Tan-1{x/ a2-x2 } convert 2 simplest form. 2)sin-1{(sin x +cos x)/ 2 } ;-Î /4<x<Î /4 3)if a>b>>c>0,prove that cot-1(ab+1/a-b) + cot-1(bc+1/b-c) + cot-1(ca+1/c-a)= Î ...

if in ΔABC, A=1200, b-c = 3 3 & area of ΔABC = 9 3 /2, a,b,c are sides of ΔABC. then a = ??.. ...

try to Prove Cosec (180/7) = Cosec(360/7) + Cosec(540/7) (Not very easy... but then not very tough either) ...

sin(inverse) of log(x) + cos(inverse) of log(x)= ??????? be sure its a tricky que.. A pie/2 B pie C 2pie D cant be predicted ...

if in a triangle ABC ,the line joinning circumcentre & incentre is parallel to BC then cosB + cosC = ???...(numerical constant)..... ...

in ΔABC (a-b)(s-c) = (b-c)(s-a), then r1,r2,r3 are in (a) AP (b) GP (c) HP (d) none ...

Consider the set of points (x,y) in the plane which satisfied x2+y2<=100 and sin(x+y)>=0. solve the following ques. 1.) the region given by sin(x+y)>=o will be a) angular region between two concentric ci ...

What is the value of cot 142.5 ...

eliminate θ and φ if sinθ+sinφ=a , cosθ+cosφ=b and tan(θ/2)tan(φ/2)=c the way i tried to solve this ques...has made the solution complex... ...

Find the number of solutions of sin2x=cos3x in o to 2pi ...

how do we solve the summation of series problems liek sina + sin 2a + sin 3a ... + sin na ...

no of solutions of the equation: sin2x + sin22x - sin23x - sin24x=0 lying in the inteval (0, pi/2]. a)4 b)2 c)3 d)5 (one answer correct.. three marks question...)... so hope there has to be some trick to solve this one... ...

f(ω) = (ksin ω + 2 cos ω)/(sin ω+ cos ω) increasing for all values of ω, then find the range of k. ...

If in a trianglye ABC, C>3pi/2, then fine the interval in the which the value of (1+tanA)(1+tanB). But how can any angle in a triangle be greater than 3pi/2 ???????? ...

If A=320° then 2sin(A/2) = ? a)√1+sinA -√1-sinA B) √1+sinA +√1-sinA C)-√1+sinA -√1-sinA d)√1+sinA+√1-sinA ...

If atanθ+bcot2θ=c acotθ-btan2θ=c,Eliminate θ ...

If θ and α are two real numbers such that ( cos4 θ/cos2 α) + (sin4 θ/sin2α) = 1 then prove that: - (cos2n+2 θ/cos2nα) + (sin2n+2θ/sin2nα) = 1 for integral values of n. ...

exact value of cos 20° + 2 sin2 55° - 2 sin65°. ...

1. find the value of cos 6° + sin 24° 2. fine the value of cos2 3π/5 + cos2 4π/5 ...

find the general solution of sin2 4x + cos2x = 2 sin4x. cos4x. ...

if A>0, B>0, and A+B = pi/3, then what is the maximum value of tanA.tanB ?? ...

If 3 sinx +4 cos ax = 7 has atleast one solution, then 'a' has to be necessarily a : - 1. odd integer 2. even integer 3. rational number 4. irrational number ...

Prove Sin(a+b)=sin(a)cos(b)+cos(a)sin(b) ...

sin10x+cos10x=(29/16)cos4(2x) Solve for x ...