Cosecant Calculator
Calculate the cosecant (csc) of an angle. Cosecant is the reciprocal of sine: csc(θ) = 1/sin(θ).
Formula
csc(θ) = 1/sin(θ)
- csc(θ) = 1/sin(θ)
Cosecant of 30°
Inputs
- Angle (degrees): 30 °
Suppose angle = 30°. sin(30°) = 0.5, so csc(30°) = 1/0.5 = 2.
Frequently asked questions
What is cosecant?
Cosecant is the reciprocal of sine: csc(θ) = 1/sin(θ). It's undefined when sin(θ) = 0.
When is cosecant used?
In trigonometry and physics, especially in oblique triangles and inverse relationships.
What is the range of cosecant?
csc(θ) ≤ −1 or csc(θ) ≥ 1 (|csc(θ)| ≥ 1).
How does cosecant relate to sine?
They are reciprocals: csc(θ) = 1/sin(θ) and sin(θ) = 1/csc(θ).