| Term | Definition |
| sin of pi/6 | 1/2 |
| cos of pi/6 | root 3/2 |
| tan of pi/6 | root 3/3 |
| csc of pi/6 | 2 |
| sec of pi/6 | 2 root 3/3 |
| cot of pi/6 | root 3 |
| sin of pi/4 | root 2/2 |
| cos of pi/4 | root 2/2 |
| tan of pi/4 | 1 |
| csc of pi/4 | root 2 |
| cot of pi/4 | 1 |
| sec of pi/4 | root 2 |
| sin of pi/3 | root 3/2 |
| cos of pi/3 | 1/2 |
| tan of pi/3 | root 3 |
| csc of pi/4 | 2 root 3/3 |
| cot of pi/4 | root 3/3 |
| sec of pi/4 | 2 |
| sin of pi/2 | 1 |
| cos of pi/2 | 0 |
| tan of pi/2 | undefined |
| csc of pi/2 | 1 |
| sec of pi/2 | undefined |
| cot of pi/2 | 0 |
| sin of 2pi/3 | 1/2 |
| cos of 2pi/3 | -root 3/2 |
| tan of 2pi/3 | -root 3/3 |
| csc of 2pi/3 | 2 |
| sec of 2pi/3 | -2 root 3/3 |
| cot of 2pi/3 | - root 3 |
| sin of 3pi/4 | root 2/2 |
| cos of 3pi/4 | -root 2/2 |
| tan of 3pi/4 | -1 |
| csc of 3pi/4 | root 2 |
| sec of 3pi/4 | -root 2 |
| cot of 3pi/4 | -1 |
| sin of 5pi/6 | root 3/2 |
| cos of 5pi/6 | -1/2 |
| tan of 5pi/6 | -root 3 |
| csc of 5pi/6 | 2 root 3/3 |
| sec of 5pi/6 | -2 |
| cot of 5pi/6 | -root 3/3 |
| sin of pi | 0 |
| cos of pi | -1 |
| tan of pi | 0 |
| csc of pi | undefined |
| sec of pi | -1 |
| cot of pi | undefined |
| sin of 7pi/6 | -1/2 |
| cos of 7pi/6 | -root 3/2 |
| tan of 7pi/6 | root 3/3 |
| csc of 7pi/6 | -2 |
| sec of 7pi/6 | -2 root 3/3 |
| cot of 7pi/6 | root 3 |
| sin of 5pi/4 | -root 2/2 |
| cos of 5pi/4 | -root 2/2 |
| tan of 5pi/4 | 1 |
| csc of 5pi/4 | -root 2 |
| sec of 5pi/4 | -root 2 |
| cot of 5pi/4 | 1 |
| sin of 4pi/3 | -root 3/2 |
| cos of 4pi/3 | -1/2 |
| tan of 4pi/3 | root 3 |
| csc of 4pi/3 | -2 root 3/3 |
| sec of 4pi/3 | -2 |
| cot of 4pi/3 | root 3/3 |
| sin of 3pi/2 | -1 |
| cos of 3pi/2 | 0 |
| tan of 3pi/2 | undefined |
| csc of 3 pi/2 | -1 |
| sec of 3 pi/2 | undefined |
| cot of 3 pi/2 | 0 |
| sin of 5pi/3 | -1/2 |
| cos of 5pi/3 | root 3/2 |
| tan of 5pi/3 | -root 3/3 |
| csc of 5pi/3 | -2 |
| sec of 5pi/3 | 2 root 3/3 |
| cot of 5pi/3 | -root 3 |
| sin of 7pi/4 | -root 2/2 |
| cos of 7pi/4 | root 2/2 |
| tan of 7pi/4 | -1 |
| csc of 7pi/4 | -root 2 |
| sec of 7pi/4 | root 2 |
| cot of 7pi/4 | -1 |
| sin of 11pi/6 | -root 3/2 |
| cos of 11pi/6 | 1/2 |
| tan of 11pi/6 | -root 3 |
| csc of 11pi/6 | -2 root 3/3 |
| sec of 11pi/6 | 2 |
| cot of 11pi/6 | -root 3/3 |
| sin of 2pi | 0 |
| cos of 2pi | 1 |
| tan of 2pi | 0 |
| csc of 2pi | undefined |
| sec of 2pi | 0 |
| cot of 2pi | undefined |
| tan of theta | sin of theta/cos of theta |
| cot of theta | cos of theta/sin of theta |
| csc of theta | 1/sin of theta |
| sec of theta | 1/cos of theta |
| cot of theta | 1/tan of theta |
| pythagorean identity | sin^2 of theta + cos^2 of theta = 1 |
| pythagorean identity | tan^2 of theta + 1 = sec^2 of theta |
| pythagorean identity | 1 + cot^2 of theta = csc^2 of theta |
| sin of -theta | -sin of theta |
| cos of -theta | cos of theta |
| tan of -theta | -tan of theta |
| csc of -theta | -csc of theta |
| sec of -theta | sec of theta |
| cot of -theta | -cot of theta |
| cos (a+b) | (cos a)(cos b)-(sin a)(sin b) |
| cos (a-b) | (cos a)(cos b)+(sin a)(sinb) |
| cos (pi/2 - theta) | sin of theta |
| sin (pi/2 - theta) | cos of theta |
| sin (a+b) | (sin a)(cos b)+(cos a)(sin b) |
| sin (a-b) | (sin a)(cos b)-(cos a)(sin b) |
| tan (a+b) | (tan a+tan b)/1-(tan a)(tan b) |
| tan (a-b) | (tan a-tan b)/1+(tan a)(tan b) |
| sin2theta | 2sin(theta)cos(theta) |
| cos2theta | cos^2theta-sin^2theta |
| tan2theta | 2tantheta/1-tan^2theta |
| cos2theta | 1-2sin^2theta |
| cos2theta | 2cos^2theta-1 |
| sin^2theta | 1-cos2theta/2 |
| cos^2theta | 1-cos2theta/2 |
| tan^2theta | 1-cos2theta/1+cos2theta |
| sin of a/2 | root (1-cos a)/2) |
| cos of a/2 | root (1-cos a)/2 |
| tan of a/2 | root (1-cos a/1+cos a) |