\color{rgb(0,0,0)}\begin{array}{l}
{\displaystyle \cos {\left( {\frac{\pi }{2} + \theta } \right) = -\sin \, \theta } }
\\ {\displaystyle \sin {\left( {\frac{\pi }{2} + \theta } \right) = \cos \, \theta } }
\end{array}
$$\color{rgb(0,0,255)}\theta$$
$$\color{rgb(0,0,255)}\theta$$
$$\color{rgb(255,0,0)}\frac{\pi }{2 } + \theta$$
$$\color{rgb(127,0,127)}\frac{\pi}{2}-\theta$$
$$\color{rgb(0,0,255)}\cos \, {\theta }$$
$$\color{rgb(0,127,127)}-\theta$$
$$\color{rgb(127,0,0)}\sin \theta$$