$\cos \left( x + \frac { \pi } { 2 } \right) + \sin \left( x + \frac { \pi } { 2 } \right) = \cos x - 2 \sin x$

Question

Examlex · Accepted Answer

The Answer of $\cos \left( x + \frac { \pi } { 2 } \right) + \sin \left( x + \frac { \pi } { 2 } \right) = \cos x - 2 \sin x$

cos⁡(x+π2)+sin⁡(x+π2)=cos⁡x−2sin⁡x\cos \left( x + \frac { \pi } { 2 } \right) + \sin \left( x + \frac { \pi } { 2 } \right) = \cos x - 2 \sin xcos(x+2π​)+sin(x+2π​)=cosx−2sinx