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\math{\frac{1}{sin45sin46}+\frac{1}{sin47sin48}+...\frac{1}{sin133sin134}}}=\frac{1}{sinN} . find minimum natural N. ...
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eliminate θ frm \frac{cos(\alpha -3\theta )}{cos^{3}\theta }=\frac{sin(\alpha -3\theta )}{sin^{3}\theta }=m ...
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find the value of sin 2Ï€/7 + sin 4Ï€/7 + sin 8Ï€/7 7 /2 ...
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is tata mvgraw hill course in maths good? ...
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Plz solve this sum. If acos theta - bsin theta =c,prove that a sin theta + b cos theta= (a2+b2-c2) ...
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if tan a=1/1+2^-x and tan b=1/1+2^x+1, then write the value of a+B lying in the interval(0,90). ...
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if sinx+cosec x=2then the value of sin ^n +cosec^n=? ...
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solve for x sin(x+y)=1 ...
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If sin4x/a + cos4x/b = 1/a+b ,prove that sin8x/a3 + cos8x/b3 = 1/(a+b)3 . ...
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If tan x= a/b , find the value of asin x- bcos x/asin x+bcos x . ...
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Cos(α - β)=1 & cos(α + β)= 1/e ; where α,β ε [-π,π] The number of pairs (α,β) which satisfy both the equations is -- (a) 0 (b) 1 (c) 2 (d) 4 ...
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in a ΔABC , radii of escribed circles are r1, r2 , r3 and radius of incircle is r. 1) A(z1) ; B(z2) ; C(z3) are the vertices of a ΔABC in argand plane and │z1-α│=│z2-α│=│z3-α│=8 then r1+r2+r3-r is...... 2) in ...
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Q1. single With usual notation in triangle ABC, if cos^2\frac{B}{2}+cos^2\frac{C}{2}+cosA = \frac{3}{2} then sinC + sinB = xsinA.. x = (a) 5 (b) 3 (c) 4 (d) 2 Q2. The distance of the point (2,3,6) from the line \frac{x-1}{1}= ...
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Cos 2θ + 2cosθ is always 1) greater than -3/2 2) less than or equal to 3/2 3) greater than or equal to -3/2 4) none of these ...
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if tan(πcosθ)=cot(πsinθ) then form eqn whose roots are cosθ and sinθ ...
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find all the numbered pairs (x,y) that satisfy the equation tan^4x+tan^4y+2cot^2x.cot^2y=3+sin^2(x+y) ...
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FIND cos(3x) - sin(3x) IF cos(2x) - cosx = sin(4x) - sinx AND tanx is not 1!!! ...
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for practice \text{if x,y,and z are the distances from vetrices A,B,and C to orthocentre respectively then prove that }\\ \frac{a}{x}+\frac{b}{y}+\frac{c}{z}=\frac{abc}{xyz} ...
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If tan x = n tan y , then prove that x = y - m sin 2y + m2/2 sin 4y - m3/3 sin 6y + . . . . . . . . . . . . . where m = 1 - n/1 + n . ...
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For any real value of A and n ε N cos A.cos 2A. cos4A .cos 8A. .................... cos 2n-1A equals 1 -1 sin(2nA) /2n sin A 2 ...
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IF (sin4x)/2+(cos4x)/3=1/5 then (a)tan2x=2/3 (b)sin8x/8+cos8x/27=1/125 (c)tan2x=1/3 (d)sin8x/8+cos8x/27=2/125??? It's mulit ans question... ...
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Prove that (\sin \gamma + a \cos \gamma)(\sin \gamma + b \cos \gamma) \le 1 + \left( \frac{a+b}{2} \right)^2 for reals a,b ...
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\sum_{r=0}^{9}{\left(-1 \right)^r\cos^{10}\frac{r\pi}{10}} any short solution using complex? ...
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1..IF P,Q,R MAY BE PERIMETER ,CIRCUMRADIUS AND INRADIUS OF AN ARBITARY TRIANGLE THE WHICH OF THE FOLLOWING MAY NOT BE ALWAYS TRUE-- (A)P>Q+R (B) P≤Q+R (C)P/6<Q+R<6P (MULTI ANSWER) ...
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In a triangle ABC ,AD is the perpendicular to BC .the inradii of ADC,ADB and ABC are x,y,z .find the relation between x ,y and z? note::the relationship shud have only x y and z.....no oder variable. ...
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cosnθ = [P][/n] (cosθ) [P][/n] is a polynomial of degree n like [P][/2] = 2x^{2}-1 (n is a natural no.) then find (x+\sqrt{x^{2}-1})^{n} +(x-\sqrt{x^{2}-1})^{n} in terms of [P][/n] ...