Cosec Calculator
Calculate the cosecant of any angle in degrees or radians, with pole detection.
Inputs
cosec(θ)
2.0000000000
Angle (degrees)
30.000000°
Angle (radians)
0.52359878
Step by step
Convert to radians
30 degrees = 0.52359878 rad
Check for poles
= No singularity detected
Apply cosec function
cosec(0.52359878) = 1/sin(0.52359878)
= 2
How it works
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
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.