Tap the blue circles to see an explanation.
$$ \begin{aligned}2cos\cdot45+2sin\cdot45i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}90cos+90i^2ns \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}90i^2ns+90cos\end{aligned} $$ | |
① | $$ 2 c o s \cdot 45 = 90 c o s $$ |
② | $$ 2 s i n \cdot 45 i = 90 i^{1 + 1} n s = 90 i^2 n s $$ |
③ | Combine like terms: $$ 90i^2ns+90cos = 90i^2ns+90cos $$ |