Enter angle in degrees or radians:
Answer
Success!
csc(57) = 1.1923632937162
↓Steps Explained:↓
Calculate csc(57)
csc is found using Hypotenuse/Opposite
Determine quadrant:
Since 0 ≤ 57 ≤ 90 degrees
it is in Quadrant I
sin, cos and tan are positive.
Determine angle type:
57 < 90°, so it is acute
Simplify Formula
| Csc(θ) = | 1 |
| Sin(θ) |
| csc(57) = | 1 |
| Sin(57) |
| csc(57) = | 1 |
| 0.8386705673263 |
csc(57) = 1.1923632937162
Using our unit circle measurements, we look up csc(57)csc(57) = 1.1923632937162Write csc(57) in terms of
Since 57° is less than 90...
We can express this as a cofunction
csc(θ) = (90 - θ)
csc(57) = (90 - 57)
csc(57) = (33)
Special Angle Values
| θ° | θrad | sin(θ) | cos(θ) | tan(θ) | csc(θ) | sec(θ) | cot(θ) |
|---|---|---|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 | 0 | 1 | 0 |
| 30° | π/6 | 1/2 | √3/2 | √3/3 | 2 | 2√3/3 | √3 |
| 45° | π/4 | √2/2 | √2/2 | 1 | √2 | √2 | 1 |
| 60° | π/3 | √3/2 | 1/2 | √3 | 2√3/3 | 2 | √3/3 |
| 90° | π/2 | 1 | 0 | N/A | 1 | 0 | N/A |
| 120° | 2π/3 | √3/2 | -1/2 | -√3 | 2√3/3 | -2 | -√3/3 |
| 135° | 3π/4 | √2/2 | -√2/2 | -1 | √2 | -√2 | -1 |
| 150° | 5π/6 | 1/2 | -√3/2 | -√3/3 | 2 | -2√3/3 | -√3 |
| 180° | π | 0 | -1 | 0 | 0 | -1 | N/A |
| 210° | 7π/6 | -1/2 | -√3/2 | √3/3 | -2 | -2√3/3 | √3 |
| 225° | 5π/4 | -√2/2 | -√2/2 | 1 | -√2 | -√2 | 1 |
| 240° | 4π/3 | -√3/2 | -1/2 | √3 | -2√3/3 | -2 | √3/3 |
| 270° | 3π/2 | -1 | 0 | N/A | -1 | 0 | N/A |
| 300° | 5π/3 | -√3/2 | 1/2 | -√3 | -2√3/3 | 2 | -√3/3 |
| 315° | 7π/4 | -√2/2 | √2/2 | -1 | -√2 | √2 | -1 |
| 330° | 11π/6 | -1/2 | √3/2 | -√3/3 | -2 | 2√3/3 | -√3 |
Show Unit Circle
Final Answer
csc(57) = 1.1923632937162Take the Quiz Switch to Chat Mode
Related Calculators: Reference Angle | Trig Angle conversions | Cofunction