Answer
$$cosx+isinx=i^2nsx+cosx$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}cosx+isinx& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}cosx+i^2nsx \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}i^2nsx+cosx\end{aligned} $$ | |
| ① | $$ i s i n x = i^{1 + 1} n s x = i^2 n s x $$ |
| ② | Combine like terms: $$ i^2nsx+cosx = i^2nsx+cosx $$ |
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