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COS-1x/a + COS-1y/b =d , then x2/a2 -2xy/abcos d +y2/b2 = 1.sin2 d 2.cos2d 3. tan2d 4.cot2d ...

1) tan9 - tan27- tan63 + tan81 =4 2) sin4 π/6 + sin4 3π/6 +sin4 5π/6 + sin4 7π/6 = 3/2 3)find the value of : 4cos20 - √3 cot20 4) find the value of : 2√2 sin10 [ sec 5/2 + cos 40/ cos5 - 2sin35] 5)sin212 + sin221 + si ...

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In triangle ABC, we are given that 3sin{A}+4cos{B}=6 and 4sin{B}+3cos{A}=1 then find angle C. ...

find the no. of ways to seat them in straight chairs such that no girl sits together. ...

if x3 + ax3 + 11x + 6 and x3 + bx2 + 14x + 8 have a common factor of the form x2 + px + q, then find (a + b). though i did it in 5 triels ... :P ... but a good prob (fr me atleast) so wanted to share. ...

Consider the Setup Shown, If the L - Shaped object is deflected slightly it oscillates. Find he frequency of the same. *Image* ...

Suppose there are two cities... "Truth city" and "False city"... There are two routes for the cities... u don't knw the exact route... There's a man stading between the routes... who belongs to either of the cities... So u ne ...

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Suppose n be a natural number such that |i+2i2 + 3i3+...+nin|=18√2. find n. ...

Can anyone mail me or post here the FIITJEE HOME BASED Full Syllabus TESTS WITH SOLUTIONS... If possible some RTPF Papers also please with key or solutions. My email ID myvic3@gmail.com or mail it to ab_oct93@yahoo.com :/ ...

Well I have finished FIITJEE Packages and FIITJEE GMP, Is is enough for organic chemistry? Or should I buy anymore problem books? I am talking about Problems not concepts. ...

dimension for inertia? ...

\hspace{-16}$In a $\mathbf{\triangle ABC},$ Angle $\mathbf{A\;,B}$ and $\mathbf{C}$ satisfy the equation \\\\ $\mathbf{\cos 2A+\sqrt{3}.\cos 2B+\sqrt{3}.\cos 2C+\frac{5}{2}=0}$\\\\ Determine the Type of $\mathbf{\triangle}$ ...

$Prove that the Sum of Given Integral is a Rational no.\\\\ $\mathbf{\int\limits_{-100}^{-10}\left(\dfrac{x^2-x}{x^3-3x+1}\right)^2dx+\int\limits_{\frac1{101}}^{\frac1{11}}\left(\dfrac{x^2-x}{x^3-3x+1}\right)^2dx+\int\limits_ ...

In a constant pressure process the volume of ideal gas changes from 1 L to 11 L at pressure of 1 atm. find the work done ...

You might all be aware of fact that how poor I fare in maths. And If maths is poor => how can physics be good. Therefore, I would like to ask everyone here to suggest me How can I Improve upon my mathematics. if anyone has ...

Find all primes p and q ,and even numbers n > 2 , satisfying the equation pn + pn-1 + · · · + p + 1 = q2 + q + 1. ...

Not exactly Olympiad stuff, infact I don't know if it is. I just needed a section to post it. Others may try and solve it if they please -: Find the sum of terms of the GP : a+ar+ar2.......∞ where a is the value of x for wh ...

Why is it that alkanes lower than hexane cannot be sulphonated? ...

Here We have to find Min. of x^2+4 + (x-y)^2+4 + (y-14)^2+1 instead of taking point C(14,5) Why we can not take point C(14,3) explanation for that thing thanks *Image* ...

If any 7 numbers( not necessarily distinct ) are chosen from 2 to 12, prove that among those 7 numbers we can get three which form the sides of a triangle. ...

what happens when acetic anhydride reacts with phenol in presence of a base? ...

prove that the tens digit of every power integral power of 3 is an even number. like 3^5 = 243. here it is 4. ...

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\hspace{-16}(1)\;\;\mathbf{\int\frac{1}{x^{11}-8x^5}dx}$\\\\\\ $(2)\;\; \mathbf{\int\frac{5x-x^5}{x^8+1}dx}$ ...

yesterday I got a chance to sit for microsoft internship test... there were in total 5 questions(75 mins). Here is one of the question: You are given with following code snippet, you need to determine what will be the output. ...

find the derivative of x^x with respect to e^x^x. ...

number of points having integral co-ordinates and satisfying x2+y2≤5 is 1. 14 2. 21 3. 20 4. none of these please give a detailed solution. P.S.- nishant sir, i want a solution to this asap. ...