Recently Active Trignometry Questions

If sinx=cosy, 6 siny=tanz,2sinz= 3 cosx ; u,v,w denote respectively sin2x,sin2y,sin2z,then value of triplet (u,v,w) is ? ...

Find range of y given that y=2tan-1x+sin-1 2x/1+x2 ...

prove that the equation x3-2x+1=0 has roots as √2sin(π/4),2sin(π/10),2sin(3π/10) q is from adg ...

The value of -- \frac{2Sin(2) + 4Sin(4) + 6Sin(6) +...+ 180Sin(180)}{90} = \ ? ...

f(x) = tan-1 [(x2 + 1) / (x2 + √3)] 1) Range contains NO natural no. 2) Range contains atleast one integer TRUE/FALSE ...

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Q1 x-y=1/3 and cos2(πx)-sin2(πy)=1/2 Find all solns (x,y) Q2 cos(x-y)-2sinx-2siny=3 iff ?? Q3total integral values of n such that sinx(sinx+cosx)=n has atleast one soln Q4 i=1Σn(sinθi+cosθi)≥n. 2 find i=1Σn(tanθi+cot ...

Ques 1) If 0 ≤ x ≤ 3 π , 0 ≤ y ≤ 3 π and cosx . siny = 1 , then the possible number of ordered pairs (x,y) is:- (a) 4 (b) 8 (c) 6 (d) 12 Ques 2) The no. of points inside or on the circle x2 + y2 = 4 satisfying tan 4 ...

∞ Σ tan-1(1/2k2) = θ k=1 Find tanθ [7] ...

Let ABC be any triangle with altitudes h1,h2,h3 and inradius r, then find the minimum value of (h1+r)/(h1-r) +(h2+r)/(h2-r) +(h3+r)/(h3-r) = If A,B and C are three non-collinear points in a plane, the area of the greatest equ ...

Q1 r=0Σn nCr cosrx.sin(n-r)x =?? Q2 (1+ nC0/nC1 )(1+ nC2/nC1 ).....(1+ nCn/nCn-1 )=??? ...

e- Π/2 <θ< Π/2 the larger of cos(logθ) and log(cosθ) if e- Π/2 <θ< Π/2 is ____ ? ...

if sinθ = ksin(θ+φ) prove that tan(θ+φ)= sinφ/cosφ - k ...

Question. Let n b a +ve integer such that sin π/2n +cos π/2n = √n/2 . then (a) 6≤n≤8 (b) 4≤n≤8 (c) 4<n≤8 (d) 4<n<8 Please show ur steps........am doubtful about a step. ...

sin4x+cos15x=1 tried this way.... => cos15x=1-sin4x => cos15x=(1+sin2x)(1-sin2x)=cos2x(1+sin2x)=cos2x(2-cos2x) => cos15x=2cos2x-cos4x koi chota soln hai kya kisi ke paas ?? ...

sin(ex).cos(ex)=2x-2+22-x ans is given inf soln....par mujhe lagta hai no soln becoz RHS≥2 and LHS≤0.5 ...

The equation \int_{0}^{x}{(t^2-8t+13)dt}=xsin(a/x) has a solution if sin(a/6) is equal to ? ...

Consider cosnx-sinnx=1,where n is a natural number and -π<x≤π Q1 When n is an even natural number,the sum of values of x satisfying the equation is ? Q2 When n is an odd natural number other than 1 ,the sum of values o ...

q)the lengths of the tangents drawn from vertices A,B,C to the incircle of triangle ABC are 5,3,2 respectively.IF THE LENGTHS OF THE PARTS OF THE TANGENTS WITHIN THE TRIANGLE WHICH ARE DRAWN PARALLEL TO THE SIDES BC,CA,AB OF ...

(1)If no of ordered pairs (x,y) satisfying lyl = cosx & y = sin-1(sinx) is m when l x l≤2∩ & n when l x l ≤ 3∩ Then A)m+n = 0 B)m+n =2 C)m+n =10 D)n-m =0 E)n-m=2 (2)If the no of solutions of ln l sinx l = -x2 + 2x , x ...

Let f(x) = lim (n--->∞) cosx/[1+(tan-1x)n] Then the value of ∫[0--->∞] f(x)dx is equal to (A) cos(tan1) (B) sin(tan1) (C) tan(tan1) (D) None ...

The number of pairs of (x,y) satisfying the equation sinx+siny=sin(x+y) and lxl+lyl=1 is ? ...

was solving a ques..and found this in b/w....and cant solve this step... for x=-1/2 find value of a^2 if a =cos tan-1 sin cot -1 x ...

( 3 +tan1).( 3 +tan2).....( 3 +tan29)=? (angles are in degrees) Not for all the genius sirs here[1] ...

If cosx+cosy+cosz=0 & cos3x+cos3y+cos3z=0 the prove that cos2x.cos2y.cos2z≤0 x,y,zε R All the sirs plz dont post the soln to this one[1] ...

cos 2φ/ sin 3φ < 0, if φ lies in: (a) {(13π/48),(14π/48)} (b) {(14π/48),(18π/48)} (c) {(18π/48),(23π/48)} (d) {(π/2),π} ...

Prove or disprove that sin A/A + sin B/B + sin C/C ≥ 9 (4 - 3 - 3 .25 )/2 Πwhere A,B,C are the angles of a triangle in radian. ...

Prove: \prod_{k=1}^{n}{\left[ 1+2\cos\frac{2\pi.3^k}{3^n+1}\right]}=1 Source: Titu Andreescu's Book.. ...

(\frac12+cos\frac{\pi}{20})(\frac12+cos\frac{3\pi}{20})(\frac12+cos\frac{9\pi}{20})(\frac12+cos\frac{27\pi}{20})=\frac1{16} This is another problem again from Titu Andreescu's book... (Hint: Chapter: Telescopic products and P ...

if α=330°,then using the formula tanα=2tanα/2/1-tan2α/2 find the value of tanα/2 ? ...