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can someone help me solve , 2cosα - 1 = sinα - cosα*tan( α/2 ) ...
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in any tri.... ABC prove that... 1 < cos A + cos B + cos C <= 3/2 <= means less than or equal to nd ya.... thanks in advance .... ...
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If sinx+tanx=5/6 find sinx*tanx. By converting everything to sinx we get a quartic equation but how to solve that? ...
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find the maximum and minimum value of sinx(sinx+cosx). i got the minimum value as [1-√2]/2 and the maximum value as [1+√2]/2. want to confirm it. ...
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.A square Tower stand upon a horizontal plane.from a point in this plane, from which three of its upper corners are visible, their angular elevations are respectively 45°,60°,45°. show that the height of the tower is to th ...
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\hspace{-16}$Evaluate $\mathbf{\cos (a).\cos (2a).\cos(3a).........\cos(999a)=}$\\\\ Where $\mathbf{a=\frac{2\pi}{1999}}$ ...
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$Solve The equation $\mathbf{\sin^{10}x+\cos^{10}x=\frac{29}{16}\cos^4(2x)}$ ...
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find the number of non-similar isosceles triangles such that tanA + tanB + tanC = 300. answer is an integer ...
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A lighthouse, facing north, sends out a fan-shaped beam of light extending fron north-east to north-west. An observer on a steamer, sailing due west, first sees the light when he is 5 km awayfrom the lighthouse, and continues ...
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*Image* which theorems we hav to use here? ...
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Show that : sin5x+cos5x+sin4x≤2 for all values of x, ...
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sin^3x+sin^2x+sinx=1 ...
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value of a for which the equation 4cosec2[pi(a+x)]+a2-4a=0 has real roots..... ...
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Show that : tan2 π/7 +tan2 2π/7 +tan2 3π/7 =21 ...
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find the minimum of (sin2x+3sinxcosx+5cos2x) ...
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prove it plz... sin3a-cos3a=(sin2a-cos2a)(1-2sin2acos2a) ...
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help me friends! Find the general solution of following trigonometric equations- 1) solve cos4x + sin4x = 2 cos ( (2x) + (pi/6)) cos ( (2x) - (pi /6)) 2) Solve sin2x + 2tan2x + ((4/ 3 ) tanx) - sinx + (11/12) = 0 3) 2sin (x + ...
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Prove the following identities:- (1-cos2A)/sin2A - sin2A/(1+cos2A) = tanA Is the question correct??? ...
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If A=sin2x +cos4x,then for all real x: a. 3/4 ≤A≤ 13/16 b. 3/4 ≤A≤1 c. 13/16 ≤A≤1 d.1≤A≤2 please provide a detailed solution to the above problem. Thank You. ...
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Can anyone tell my mistake i am making in the general solution of following equation; I am getting different answers. Solve - 4sin2x + 3cos 2x = 5 My answer- 4(2sinxcosx) + 3 ( 2cos2x - 1) = 5 → 8 sinx cosx + 6 cos2x = 8 ↠...
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prove ... cot4x(sin5x+sin3x) = cotx(sin5x-sin3x) ...
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hi frnds, I am confused. i am getting two different answers .help me out. Solve; 4sin(2x) + 3 cos (2x) =5 My solution is: 4(2sinx cos x) + 3 (2cos2x - 1) =5 →8sinx cosx + 6cos2x = 8 Divide both sides by cos2x →8tanx + 6 = ...
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The Product (1 + tan1°) (1 + tan2°) (1 + tan3°) ........ (1 + tan45°) equals: a) 221 b) 222 c) 223 d) 224 ...
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If K= sin (pi/18) sin (5pi/18) sin ( 7pi/18) , then numerical value of K is ...
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Calculate; 1) 4cos20° - 3 cot20° 2) ( 2cos40° - cos20°)/sin 20° ...
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esinx+e-sinx=4 Find the maximum value of x. ...
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Help me friends.I am not able to solve it. If tan( (pi/4) + y/2) = tan3 ( (pi/4) + x/2), prove that sin(y)/ sin(x) = (3 + sin2x)/ (1+ 3sin2x) ...
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*Image* ...
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*Image* ...
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\cot^{-1} \frac{y}{\sqrt{1-x^{2}-y^{2}}}=2\tan^{-1} \sqrt{\frac{3}{4x^{2}}-1}-\tan^{-1} \sqrt{\frac{3}{x^{2}}-4} &\\\\ \text{Q. Express the above as a rational integral equation between x and y.} My attempt went dirty after a ...