Advanced Trigonometry

Here's what they taught you in a standard trig class:

radiansdegreessincostan
00010
π/6301 / 2√3 / 21 / √3
π/4451 / √21 / √21
π/360√3 / 21 / 2√3
π/29010

Here's what they didn't teach you, but this definitely comes in handy sometimes, especially if you are dealing with pentagons, octagons, or dodecagons:

radiansdegreessincostan
π/1215 (√6 – √2) / 4(√6 + √2) / 42 – √3
π/1018 (√5 – 1) / 4√(10 + 2√5) / 4√(1 – 2/√5)
π/822.5 (2 – √2) / 2(2 + √2) / 2√2 – 1
π/536 √(10 – 2√5) / 4(√5 + 1) / 4√(5 – 2√5)
3π/1054 (√5 + 1) / 4√(10 – 2√5) / 4√(1 + 2/√5)
3π/867.5 (2 + √2) / 2(2 – √2) / 2√2 + 1
2π/572 √(10 + 2√5) / 4(√5 – 1) / 4√(5 + 2√5)
5π/1275 (√6 + √2) / 4(√6 – √2) / 42 + √3