Cosec Calculator
Calculate the cosecant of any angle in degrees or radians, with pole detection.
About Cosec Calculator
The cosecant is the reciprocal of sine: cosec(θ) = 1/sin(θ) = hypotenuse/opposite. It is undefined where sin = 0, i.e. at multiples of 180°.
Formula
Cosecant definition
cosec θ = 1 / sin θ = hypotenuse / opposite
- θ
- The angle
Worked example
With the default values below, Cosec Calculator returns cosec(θ) of 2.0000000000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Angle (θ)
- 30
- Angle unitone of Degrees, Radians
- Degrees
Results
- cosec(θ)
- 2.0000000000
- Angle (degrees)
- 30.000000 °
- Angle (radians)
- 0.52359878
Step by step
- 1Convert to radians
- 2Check for poles= No singularity detected
- 3Apply cosec function= 2
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 10 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
What is cosec(30°)?
cosec(30°) = 1/sin(30°) = 1/0.5 = 2.
Where is cosecant undefined?
At 0°, 180°, 360° and all multiples of 180° — wherever sine equals zero.