Trigonometric Table (0° to 360°, Custom Intervals,
Fractional Values)
Degrees Radians sin cos tan cosec sec cot
0 0 0 1 0 ∞ 1 ∞
π 1
√
3
√
30 √1 2 √2 3
π
6 2 2 3 √ √3
45 √1 √1 1 2 2 1
π
4 √2
3 1
2 √
60 3 √2 2 √1
3 2 2 3 3
90 π
1 0 ∞ 1 ∞ 0
2 √ √
120 2π 3
− 12 − 3 √2 -2 − √13
3 2 √3 √
135 3π √1 − √12 -1 2 − 2 -1
4 2 √ √
150 5π
6
1
2
− 2
3
− √13 2 − √23 − 3
180 π 0 -1√ 0 ∞ -1 ∞
√
210 7π
− 12 − 23 √1 -2 − √23 3
6 3 √ √
225 5π
− √12 − √12 1 − 2 − 2 1
4 √ √
240 4π
3
− 2
3
− 12 3 − √23 -2 √1
3
270 3π
-1√ 0 ∞ -1 ∞ 0
2 √
300 5π
− 23 1
− 3 − √23 2 − √13
3 2 √ √
315 7π
− √12 √1 -1 − 2 2 -1
4 √2 √
330 11π
6
− 12 2
3
− √13 -2 √2
3
− 3
360 2π 0 1 0 ∞ 1 ∞
Table 1: Trigonometric ratios for angles from 0° to 360° with intervals of 30°, 15°, 15°,
30°, 30°, 15°, 15°, 30°, expressed as fractions where possible.
Notes
• All values are exact fractions where possible, using square roots as needed.
• Tangent, cosecant, and secant are represented with ∞ where their denominators
are zero.