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In a ΔABC if cosA+cosB+cosC=3/2 then prove that the Δ is equilateral. ...
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Show that Δ < s2/4 ...
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Given that a,b,c are the sides of ΔABC which is rt.angled at C.Then the min. value of (c/a + c/b)2 is ?? ...
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solve: 2sinx=|x| +a find 'a' such that there is no real root! ...
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prove tan 3a - tan 2a - tan a = tan a . tan 2a . tan 3a ...
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If a , b , c are a triangle angles, prove : csc(a/2)+csc(b/2)+csc(c/2)≥6 ...
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find tan10.tan70.tan30 ...
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How do I prove sin2A-sin2B=sin(A+B)sin(A-B) ? ...
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sin a+cos b=2/3 sin b+cos a=1/3 Find tan((a-b)/2)? Note:Please give the shortest method....I know the longer one... ...
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The area of right angled triangle in terms of r and r1 if A = 90°.( where r, r1 have their usual meanings), is: (A) r + r1 (B) rr1 (C) r – r1 (D) r1 – r ...
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easy one... Find the minimum value of the sum of squares of all trigonometric ratios? Hint:Integer-type answer... :P ...
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Find the number of solutions of the equation cosx=2tanx in the interval [0,5Ï€] ...
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Solve the equation cos 4θ+sin5θ=2. (cos4θ=1....and sin5θ=1...using this i got θ= nπ/2 and θ= nπ/5 +(-1)n π/10 ....how should i proceed further??) ...
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If sin-1x + tan -1x = frac{pi }{2} , then 2x2 + 1= ...
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What is the value of tan-1((1/2)tan2A)+ tan-1(cotA)+ tan-1(cot3A) ? ...
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2 sin -1x = cos-1 (1 -2x2) is true for ...
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If sin-1x+sin-1y= frac{2pi}{3} , cos-1x–cos-1y= frac{pi}{3} , the number of ordered pairs (x, y) is ...
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tan(cos-1x) = sin(cot-11/2), x is ...
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If x ≥ 1, then 2 tan -1x + sin-1 frac{2x}{1+{{x}^{2}}} is ...
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If cosec-1x = 2 cot-12 + cos-1 (frac{3}{5}) , then x = ...
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\hspace{-16}$Find Range of $\bf{f(x)=\frac{\sin^{-1}(x)}{2}+\frac{\cos^{-1}(x)}{3}+\frac{\tan^{-1}(x)}{4}}$ ...
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If: tan3A/tanA =k,then sin3A/sinA = a) 2k/k-1 b) 2k/k+1 c) k-1/2k d) k+1/2k Plz help me with this one. ...
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Mathematics For IIT-JEE 2012-2013 : Trigonometry http://goo.gl/xb6BW Do tell me how is it? ...
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if m,n are integers satisfying 1+cos2x+cos4x+cos6x+cos8x+cos10x= cos mx.sin nx/sinx then (m+n) equals ? A)9 B)10 C)11 D)12 ...
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\hspace{-16}$Is There is any Relation exists b/w the angle $\bf{M\;\;,N}$ and $\bf{P}$ Such \\\\ that $\bf{\cos^2(M)+\cos^2(N)+\cos^2(P)+2.\cos(M).\cos(N).\cos(P)=1}$ ...
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\hspace{-16}\bf{\mathbb{P}}$rove that $\bf{\prod_{k=1}^{n-1}\cos\left(\frac{k\pi}{n}\right)=\frac{\sin \left(\frac{n\pi}{2}\right)}{2^{n-1}}}$ can anyone help me for solving the Given Question. I have Got \hspace{-16}$\displa ...
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\hspace{-16}\bf{\mathbb{F}}$ind Real values of $\bf{x}$ that satisfy the equation\\\\ $\bf{4^{x.\sin^{-1}(x)}+4^{x.\cos^{-1}(x)}=2^{\frac{2+\pi.x}{2}}}$ ...
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The no. of possible triples (a1,a2,a3) such that a1+a2cos2x+a3sin2x=0 for all x is (a)0 (b)1 (c)2 (d)Infinite ...
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Find the minimum Value of cot1 x cot2 x cot3 x ...... cot44. ...
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\hspace{-16}$If $\bf{x = \prod_{r=0}^{44}\sin \left(\left(2r+1\right)^0)}$\\\\\\ Then $\bf{x}$ is $\bf{\mathbb{R}}$ational or $\bf{\mathbb{I}}$rrational ...