Calculate the cosecant (csc) of an angle in degrees or radians.
Angle Input
Result
csc(θ)2.000000
sin(θ)0.500000
About this calculator
Cosecant Function
The cosecant function, denoted as csc(x), is the reciprocal of the sine function. In a right-angled triangle, it is the ratio of the hypotenuse to the side opposite to the angle.
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Pro Tips
csc(x) is undefined when sin(x) = 0 (e.g., at 0°, 180°, 360°).
The range of csc(x) is (-∞, -1] U [1, ∞). It never takes values between -1 and 1.
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Fun Facts
"Trigonometry was essential for ancient navigation and astronomy."
"The term 'cosecant' comes from 'complementi sinus', meaning sine of the complement."
