A classics teacher covering detention asked the question:
One angle of a triangle is ${96}^\circ$, find the other two angles $\psi, \theta$ given that:
$2\sin4\theta = 2\sin2\psi + 2\cos2\psi + 3\sec3\theta +2\alpha +2\sec2\psi$
Please find the other two angles so you can go home.
Addendum: The teacher knows basic arithmetic and geometry, but trigonometry is Greek to him. His proudest mathematical moment occurred during an interview when asked to find the value of,
$3\sin3\psi \cdot 3 \tan3\theta$ if $\psi={30}^\circ$ and $\theta={15}^\circ$
answering even before the interviewer had finished speaking. He got the job. He said confidently
9
Hint
$4\cosh3\psi + 3\sinh4\theta$