Cosecant Calculator - csc(x)

Your details

Choose how you want to enter your angle.
The angle whose cosecant you want to compute. Cosecant is undefined at 0, 180, 360 (or 0, pi, 2pi in radians).
deg
Toggle on to enter a csc value and get the principal angle.
csc(x)
2

Cosecant of the entered angle

sin(x)0.5
Angle (radians)0.523599rad
Angle (degrees)30deg
2
Negative (undefined band)<-1Impossible (|csc| < 1)-1-1Positive1+

csc(30.0000 deg) = 2.000000

  • sin(30.0000 deg) = 0.500000, so csc = 1 / 0.500000 = 2.000000.
  • |csc(x)| = 2.000000, which is greater than 1 (as it always must be).
  • The angle is in the first or second quadrant, so sin(x) > 0 and csc(x) > 0.
  • Cosecant repeats every 360 degrees (period = 2pi), so csc(x + 360) = csc(x).

Next stepYou can verify this result on a scientific calculator by computing 1 / sin(angle) or using the dedicated csc / cosec button if available.

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