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- \documentclass{article}
- \usepackage{amsmath}
- \usepackage{newpxtext}
- \usepackage{eulervm}
- \pagestyle{empty}
- \begin{document}
- \[
- \everymath={\displaystyle}
- \def\arraystretch{1.5}
- \begin{array}{l@{\ }l}
- & \cos(\alpha + \beta) + i \sin(\alpha + \beta) \\
- = & e^{i(\alpha + \beta)} \\
- = & e^{i \alpha} e^{i \beta} \\
- = & (\cos \alpha + i \sin \alpha)(\cos \beta + i \sin \beta) \\
- = & (\cos \alpha \cos \beta - \sin \alpha \sin \beta) \\[-5pt]
- & {} + i(\sin \alpha \cos \beta + \cos \alpha \sin \beta)
- \end{array}
- \]
- \end{document}
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