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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
See math.stackexchange.com/questions/301800/…
Apr
28
comment Prove that $\tan20^\circ\tan40^\circ\tan60^\circ\tan80^\circ=3$
Related math.stackexchange.com/questions/455070/…
Apr
27
awarded  Great Answer
Apr
27
comment Prove: $\arcsin\left(\frac 35\right) - \arccos\left(\frac {12}{13}\right) = \arcsin\left(\frac {16}{65}\right)$
Use math.stackexchange.com/questions/672575/…
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
cut-the-knot.org/arithmetic/algebra/FibonacciGCD.shtml OR en.wikipedia.org/wiki/Fibonacci_number#Divisibility_properties
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 $\sqrt{1-x}=2x^2-1+2x\sqrt{1-x^2}$
@RFZ, mathwords.com/p/periodicity_identities.htm and mathsfirst.massey.ac.nz/Trig/TrigGenSol.htm
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