lab bhattacharjee
Reputation
158,454
99/100 score
 Apr 29 answered What would be the value of the limit $\lim _{x\to \infty} (\frac{3x +1}{3x-1})^{4x}$? Apr 29 comment Find all positive inegers solution for $x^2-xy-y^2=1$ $$4=(2x-y)^2-5y^2$$ Apr 29 comment The angle giving minimum value Apr 28 comment Prove that $\tan20^\circ\tan40^\circ\tan60^\circ\tan80^\circ=3$ Apr 27 awarded Great Answer Apr 27 comment Prove: $\arcsin\left(\frac 35\right) - \arccos\left(\frac {12}{13}\right) = \arcsin\left(\frac {16}{65}\right)$ Apr 26 awarded Enlightened Apr 26 awarded Nice Answer Apr 25 answered Solve $\cot^2(x) -\cot(x) - 1=0$ Apr 25 answered Prove $\sin(A-B)/\sin(A+B)=(a^2-b^2)/c^2$ Apr 24 comment Let the smallest positive integer with six positive odd integer divisors and twelve positive even integer divisors, be n. What is the unit digit of n? artofproblemsolving.com/wiki/… Apr 24 comment Given that $\cos A + \cos B + \cos C = 0$ and $\sin A + \sin B + \sin C = 0$. @Ananya, Find the necessary & the sufficient condition : math.stackexchange.com/questions/1397066/… Apr 23 comment Is there a general rule to find period of multiplied functions? Provided $$\dfrac{p_1}{p_2}$$ is rational. In that the resultant period must divide the LCM Apr 23 comment Proving the GCD property of the Fibonacci numbers Apr 23 answered In an triangle the least angle is $45^\circ$ and the tangents of the angles are in $A.P.$If its area be $27$ sq.cm.Find the lengths of its sides. Apr 23 comment Solve the equation $\sqrt{1-x}=2x^2-1+2x\sqrt{1-x^2}$ @Ovi, So, the root is not $\cos126^\circ$ Apr 23 comment Solve the equation $\sqrt{1-x}=2x^2-1+2x\sqrt{1-x^2}$ Apr 23 comment Solve the equation $\sqrt{1-x}=2x^2-1+2x\sqrt{1-x^2}$ @астонвіллаолофмэллбэрг, If $x=\cos126^\circ,$ $$2x^2-1, x<0$$ The Right Hand Side $$=-\sqrt2\sin(45+72)^\circ=-\sqrt2\sin63^\circ$$ and the left $$=+\sqrt2\sin63^\circ$$ Apr 23 comment Prove that $\sin^2\frac{A}{2}\csc2A$, $\sin^2\frac{B}{2}\csc2B$, $\sin^2\frac{C}{2}\csc2C$ are in harmonic progression What is the source of the problem Apr 23 answered Prove that $\sin^2\frac{A}{2}\csc2A$, $\sin^2\frac{B}{2}\csc2B$, $\sin^2\frac{C}{2}\csc2C$ are in harmonic progression