Is this formula for the area of a triangle worth being published? $\frac{(a^2+b^2-c^2)^2\sec C\tan C}{8ab}$
I created this trigonometric formula for finding the area of oblique triangles: $$R=\frac{(a^2+b^2-c^2)^2\sec C\tan C}{8ab}$$ where $a, b$ and $c$ are sides of the triangle, angle $C$ is the angle opposite to side $c$, and $R$ is the area.
Does this formula deserve being in textbooks or contests? And where can I publish this or find out if someone already discovered the formula?
Also see this post Have I found a formula for the area of a triangle?
I can do you one better. $$ A=\frac{1}{2}ab \sin C. $$ This identity is equivalent to yours after a use of the Law of Cosines.