If $x=\cot6^\circ\cot42^\circ$ and $y=\tan66^\circ\tan78^\circ$, then determine the ratio of $x$ and $y$
59922
If $A = \tan6^{\circ} \tan42^{\circ},~~B = \cot 66^{\circ} \cot78^{\circ}$ find the relation between $A$ and $B$
65687
$\gcd(a,b)\gcd(x,y)\mid ax+by$
129319
Weird "hidden answer" in $2\tan(2x)=3\text{cot}(x)$
118501
Proving the length of a circle's arc is proportional to the size of the angle
127866
Two triangles and their content ratio
69682
Roots of $y=x^3+x^2-6x-7$
48956
Simplify $\arctan (\frac{1}{2}\tan (2A)) + \arctan (\cot (A)) + \arctan (\cot ^{3}(A)) $
2676
Finding $\frac {d(\tan \theta)}{d\theta}$
25065
What is $\arctan(x) + \arctan(y)$
71769
Evaluation of ratio of two binomial expression
31448
Calculate $\int\left( \sqrt{\tan x}+\sqrt{\cot x}\right)dx$
82170
Solve $x = \frac{1}{2}\tan(x)$
31379
Relationship between $\tanh x$ and $\arctan x$
11059
Verify the identity: $\tan^{-1} x +\tan^{-1} (1/x) = \pi /2$
76941
How do you find the value of $\sum_{r=0}^{44} \tan^2(2r+1)$?
91353
Given $n \in \Bbb Z$, determine $\gcd(3n^2 + 7n + 4, n + 2)$.
51979
Is there a geometrical method to prove $x<\frac{\sin x +\tan x}{2}$?