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If tan5x + tanx + 1 = 0, find the value of tan x + cosesc2x ...
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Find number of roots of 2x=(2n+1)Ï€(1-cosx) where n is positive integer ...
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If x2-2xcosα +1=0 and y2-2ycosβ+1=0 then what is the value of 2cos(α+β) ...
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A right angle is divided in 3 parts, angles x,y,z..... Prove tanx+tany+tanz>1+tanxtanytanz..... ...
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A triangle is inscribed in a circle of radius 1.The distance between orthocentre and circumcircle cannot be a)1 b)2 c)3/2 d)4 ...
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let ABC be a triangle with AB=AC=6. If the circumradius of the triangle equals 6, then BC equals: (a)25/3 (b)9 (c)48/5 (d)10 this is a sample question on the kvpy website. ...
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Find the number of solutions of equation sinx+2sin2x=3+sin3x ,x ε[0,π] ...
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Find the maximun and minimum value of : 4 sin2 x + 3 cos2 x + sin x/2 + cos x/2 ...
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If 0<x<y<Ï€/2, show that : x - sin x < y - sin y ...
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In right angled triangle ABC,right angled at B,s-a=3 and s-c=2. Find values of a and c ...
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Let k=1 ,then find value of 2sin2k + 4sin4k + 6sin6k +... + 180sin180k ...
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If xi>0 for 1≤i≤n and x1+x2+....+xn=π ,then find greatest value of sinx1+sinx2+.......+sinxn ...
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Find the number of distinct solutions of equation sin5θcos3θ=sin9θcos7θ, θ ε [0,π/2] ...
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If in ΔABC ,cosA+2cosB+cosC=2 then prove that a,b,c are in AP ...
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Find the angle? sin(sin-110) ...
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if Z=cosA+isinA & A=2° find *Image* ...
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cot2x=cosecx+sinx. Find the general solution of this equation. ...
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Ques1) Number of degrees in the smallest positive angle x such that 8 sinx cos 5 x - 8 sin5 x cosx =1, is (a) 5 degree (b) 7.5 degree (c) 10 degree (d) 15 degree Ques2) The sides of a triangle are 6 and 8 and the angle \theta ...
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if the angle of elevation of a cloud from a point 'h'metres above a lake is a and angle of depression of its reflection in the is b.Prove that the height of cloud is h( tan b + tan a )/( tan b - tan a ) .pls solve it by drawi ...
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Guys I'm finding trigonometry hard. Can you suggest some tips so that i can solve sums quicker and more efficiently. Thanks. ...
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*Image* ...
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1)If ar+1= 1/2(ar+1) then prove that cos[ 1-a02 /a1a2....∞]=a0 2)If A+B+C+D=2∩ prove that sinA/2.sinB/2.sinC/2.sinD/2≤1/4 ...
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prove that:- tan(3pi/11)+4sin(2pi/11) = √11 ...
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*Image* ...
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Q1 - If cos4 (θ + α) , sin4(θ + α) are the roots of the equation x2 +b(2x+1) = 0 and cos2(θ+β),sin2(θ+β) are the roots of the equation x2+4x+2 = 0 then b is equal to ? Q2 - (Sinθ / sin δ)2 = tan θ / tanδ = 3 then ...
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*Image* plz post complete solution for it! ...
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*Image* ...
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*Image* ans. given is false.................can u tell y? ...
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[sry i deleted it] ...
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if A and B are square matrices of same order such that AB=BA,prove by induction that (AB)n=AnBn. i got stuck after a step i got s BAk+1Bk.......... after this step i can't proceed as i don think we can write it equal to Ak+1B ...