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# Lesson 11.13: Greek Letters

## Explanation

Although many foreign alphabets may be used in math, the Greek alphabet is one of the most common alphabets used. When a letter from a foreign alphabet is used, it must be preceded by its corresponding alphabetic indicator. For Greek letters, this is dots four six. If the letter is capitalized, the Greek letter indicator, dots four six, is followed by dot six. Greek letters should be treated as mathematical symbols.

Listed below are the most commonly used lowercase Greek letters

$\text{alpha}\phantom{\rule{.3em}{0ex}}\alpha$
⠨⠁

$\text{beta}\phantom{\rule{.3em}{0ex}}\beta$
⠨⠃

$\text{gamma}\phantom{\rule{.3em}{0ex}}\gamma$
⠨⠛

$\text{delta}\phantom{\rule{.3em}{0ex}}\delta$
⠨⠙

$\text{epsilon}\phantom{\rule{.3em}{0ex}}\epsilon$
⠨⠑

$\text{zeta}\phantom{\rule{.3em}{0ex}}\zeta$
⠨⠵

$\text{eta}\phantom{\rule{.3em}{0ex}}\eta$
⠨⠱

$\text{theta}\phantom{\rule{.3em}{0ex}}\theta$
⠨⠹

$\text{iota}\phantom{\rule{.3em}{0ex}}\iota$
⠨⠊

$\text{kappa}\phantom{\rule{.3em}{0ex}}\kappa$
⠨⠅

$\text{lambda}\phantom{\rule{.3em}{0ex}}\lambda$
⠨⠇

$\text{mu}\phantom{\rule{.3em}{0ex}}\mu$
⠨⠍

$\text{nu}\phantom{\rule{.3em}{0ex}}\nu$
⠨⠝

$\text{xi}\phantom{\rule{.3em}{0ex}}\xi$
⠨⠭

$\text{omicron}\phantom{\rule{.3em}{0ex}}ο$
⠨⠕

$\text{pi}\phantom{\rule{.3em}{0ex}}\pi$
⠨⠏

$\text{rho}\phantom{\rule{.3em}{0ex}}\rho$
⠨⠗

$\text{sigma}\phantom{\rule{.3em}{0ex}}\sigma$
⠨⠎

$\text{tau}\phantom{\rule{.3em}{0ex}}\tau$
⠨⠞

$\text{upsilon}\phantom{\rule{.3em}{0ex}}\upsilon$
⠨⠥

$\text{phi}\phantom{\rule{.3em}{0ex}}\phi$
⠨⠋

$\text{chi}\phantom{\rule{.3em}{0ex}}\chi$
⠨⠯

$\text{psi}\phantom{\rule{.3em}{0ex}}\psi$
⠨⠽

$\text{omega}\phantom{\rule{.3em}{0ex}}\omega$
⠨⠺

Listed below are the most commonly used uppercase Greek letters

$\text{Gamma}\phantom{\rule{.3em}{0ex}}\Gamma$
⠨⠠⠛

$\text{Delta}\phantom{\rule{.3em}{0ex}}\Delta$
⠨⠠⠙

$\text{Theta}\phantom{\rule{.3em}{0ex}}\Theta$
⠨⠠⠹

$\text{Lambda}\phantom{\rule{.3em}{0ex}}\Lambda$
⠨⠠⠇

$\text{Xi}\phantom{\rule{.3em}{0ex}}\Xi$
⠨⠠⠭

$\text{Pi}\phantom{\rule{.3em}{0ex}}\Pi$
⠨⠠⠏

$\text{Sigma}\phantom{\rule{.3em}{0ex}}\Sigma$
⠨⠠⠎

$\text{Upsilon}\phantom{\rule{.3em}{0ex}}Υ$
⠨⠠⠥

$\text{Phi}\phantom{\rule{.3em}{0ex}}\Phi$
⠨⠠⠋

$\text{Psi}\phantom{\rule{.3em}{0ex}}\Psi$
⠨⠠⠽

$\text{Omega}\phantom{\rule{.3em}{0ex}}\Omega$
⠨⠠⠺

### Example 1

$\text{From}\phantom{\rule{.3em}{0ex}}\alpha \phantom{\rule{.3em}{0ex}}\text{to}\phantom{\rule{.3em}{0ex}}\gamma \text{.}$
⠠⠋⠗⠕⠍⠀⠨⠁⠀⠞⠕⠀⠨⠛⠸⠲

### Example 2

$\mathrm{sin}\theta =40°$
⠎⠊⠝⠀⠨⠹⠀⠨⠅⠀⠼⠲⠴⠘⠨⠡

### Example 3

$A=\pi {r}^{2}$
⠠⠁⠀⠨⠅⠀⠨⠏⠗⠘⠆

### Example 4

$\frac{\Delta x}{\Delta y}$
⠹⠨⠠⠙⠭⠌⠨⠠⠙⠽⠼

### Example 5

${\mu }_{\stackrel{‾}{x}}$
⠨⠍⠰⠭⠱

### Example 6

$\kappa +\iota$
⠨⠅⠬⠨⠊

### Example 7

${\mathrm{sin}}^{2}\beta$
⠎⠊⠝⠘⠆⠀⠨⠃

### Example 8

$\left(\kappa +\iota \right)$
⠷⠨⠅⠬⠨⠊⠾

### Example 9

${\sigma }^{2}$
⠨⠎⠘⠆