Tap the blue circles to see an explanation.
$$ \begin{aligned}cos(a+bi)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}acos+bcios \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}bcios+acos\end{aligned} $$ | |
① | Multiply $ \color{blue}{cos} $ by $ \left( a+bi\right) $ $$ \color{blue}{cos} \cdot \left( a+bi\right) = acos+bcios $$ |
② | Combine like terms: $$ bcios+acos = bcios+acos $$ |