Year: 1987
Paper: 2
Question Number: 2
Course: LFM Pure
Section: Trigonometry 2
No solution available for this problem.
Difficulty Rating: 1500.0
Difficulty Comparisons: 0
Banger Rating: 1500.0
Banger Comparisons: 0
Show that if at least one of the four angles $A\pm B\pm C$ is a multiple
of $\pi$, then
\begin{alignat*}{1}
\sin^{4}A+\sin^{4}B+\sin^{4}C & -2\sin^{2}B\sin^{2}C-2\sin^{2}C\sin^{2}A\\
& -2\sin^{2}A\sin^{2}B+4\sin^{2}A\sin^{2}B\sin^{2}C=0.
\end{alignat*}