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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 .... ...

http://students.iitk.ac.in/takneek/media/nuq2m.pdf ...

If sinx+tanx=5/6 find sinx*tanx. By converting everything to sinx we get a quartic equation but how to solve that? ...

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. ...

Provide the name of the orbitals which has no angular nodes Also provide the orbitals with no radial nodes. ...

Let A = [aij] , where aij = uij , 1 ≤ j ≤ n , 1≤ i ≤ n and ui , vj belongs to R satisfies A5 = 16 A , find tr(A). ...

\hspace{-16}$\textbf{If $\mathbf{x^{10}+(13x+1)^{10}=0}$ has a roots $\mathbf{r_{1}\;,r_{2}\;,\;r_{3}\;,r_{4}\;,r_{5}}$ and $}\\\\ \mathbf{\bar{r_{1}}\;,\bar{r_{2}}\;,\;\bar{r_{3}}\;,\bar{r_{4}}\;,\bar{r_{5}}}.$Then find $\ma ...

Consider the two problems. 1)A perfectly reflecting solid sphere of radius r is kept in the path of a parallel beam of light of large aperture. If the beam carries an intensity I,find the force exerted by the beam on the sphe ...

where will i get 3rd sem results? ...

\int (cos^3x + cos^5x)/ (sin^2x + sin^4x) dx ...

If n is greater than 5, then 2n/3 is greater than √2n dont take more than 5 mins for this ...

What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3? ...

.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 ...

List all solutions of the system of equations with positive real numbers: x2+y4=16 x2+z2=4+xz y2+z2=4+yz√3 Please give a legitimate solution. ...

\hspace{-16}$Evaluate $\mathbf{\cos (a).\cos (2a).\cos(3a).........\cos(999a)=}$\\\\ Where $\mathbf{a=\frac{2\pi}{1999}}$ ...

a charged particle of mass 2 kg and chrge 2 C is projected with velocity v = 8i + 6j m/s in horizontal plane and there if magnetic field 2k (k cap) find the coeff of friction such that the particle travels in spiral path b4 c ...

1. 3 identical balls moving together along a horizontal line with velocity v collide with 2 similar balls at rest along the same line. The collision is elastic. After the collision a. 2 balls move with vel. v b. 2 balls move ...

(4cos29-3)(4sin263-3)=? ...

$Solve The equation $\mathbf{\sin^{10}x+\cos^{10}x=\frac{29}{16}\cos^4(2x)}$ ...

Given two straight lines. Can you show a bijective mapping of one onto the other? ...

Q1 > A particle of mass 'm' is moving in a circular path of constant radius 'r' such that its centripetal acceleration 'a' is varying with time as a=k*k*r*t*t, where 'k' is a constant. Find the power delivered to the parti ...

y = x2 + ax + 1 is a parabola. its tangent @ the point of intersection at the y axis also touches the circle x2 + y2 = r2 . given tht no point of the parabola is below the y axis. find maximum value of 'r' ...

1. Show that x^2>(1+x)[ln(1+x)]^2 \text{ } \forall\text{ } x>0 2. Let a+b=4, where a<2 and let g(x) be a differentiable function. If dg/dx >0 for all x, prove that \int_{0}^{a}{g(x)dx}+\int_{0}^{b}{g(x)dx} increas ...

Which of the following is true for a galvanic cell? ...

*Image* ...

*Image* ...

$Solve Diff. equations $\frac{dy}{dx}=\frac{3x+x^2y}{y+x^2y} ...

A stone thrown upwards with a velocity v from the top of the tower reaches the bottom of the tower at speed n×v. What is the height of the tower? ...

Solve th efollowing equation by putting any mathematical operator between each digit : 1 2 3 4 5 6 7 8 9=100 ...

*Image* QUESTION: Find equivalent resistance between A and B. ...