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Sigma Limit
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9
Prove: If $x+y+z=xyz$ then $\frac {x}{1-x^2} +\frac {y}{1-y^2} + \frac {z}{1-z^2}=\frac {4xyz}{(1-x^2)(1-y^2)(1-z^2)}$
Feb 1, 2017
9
The sum of digits in a 2-digit number
Jan 4, 2017
9
A spherical ball of salt is dissolving in water
Apr 25, 2018
8
Help with this trigonometry problem
Aug 17, 2016
8
Prove: $\cos^3{A} + \cos^3{(120°+A)} + \cos^3{(240°+A)}=\frac {3}{4} \cos{3A}$
Sep 10, 2016
7
Integrate $\int \frac {\sin (2x)}{(\sin x+\cos x)^2}\,dx$
May 6, 2019
6
In any $\triangle ABC$, prove that: $\frac {\cos B-\cos C}{\cos A +1}=\frac {c-b}{a}$
Apr 8, 2018
6
If $\sin^{-1} (x) + \sin^{-1} (y)+ \sin^{-1} (z)=\dfrac {\pi}{2}$, prove that $x^2+y^2+z^2+2xyz=1$
Feb 3, 2018
6
Prove that: $\sec^2 20^\circ +\sec^2 40^\circ +\sec^2 80^\circ = \textrm 36$
Feb 10, 2017
6
The Arithmetic Mean (A.M) between two numbers exceeds their Geometric Mean (G.M.)
Jan 29, 2018