汗 - Sweaty from All Those Examples

Readings & Meanings:

あせ

カン

sweat

Common Usage:

汗をかく　
汗が出る
汗が流れる

発汗する

冷汗　　(this has two readings, ひやあせ and れいかん, the former more prevalent)

Examples:

走ったら汗をかいた

重労働をしたら汗が出た

額から汗が流れた

脇の下から発汗する

ハイウェイで鹿をひきそうになって冷汗をかいた。

Translations:

When you run, you sweat.
(汗をかく connotes sweat seeping out of your pores, a lot or a little.)

When you work really hard, a lot of sweat comes out.
(汗が出る connotes more sweat than usual.)

Sweat was flowing down from his forehead.

Sweating under the armpits
(発汗する is formal, even medical.)

I broke out in a cold sweat when it looked like I was about to hit a deer on the highway.
(冷汗 contains the kanji for 冷たい（つめたい）, so it's literally translated as "cold sweat" and has the same fearful connotation.)

References:

http://www.jlptstudy.com/2/index.html and http://www.thejapanesepage.com/kanji/kanji/a.htm