$\sin \left( {3x - {\pi  \over 6}} \right) = {{\sqrt 3 } \over 2}$  

$\sin \left( {3x - 2} \right) =  - 1$

$\sqrt 2 \cos \left( {2x - {\pi  \over 5}} \right) = 1$  

$\cos \left( {3x - {{15}^o}} \right) = \cos {150^o}$

$\tan \left( {2x +3} \right) = \tan {\pi  \over 3}$ 

$\cot \left( {{{45}^o} - x} \right) = {{\sqrt 3 } \over 3}$