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Cosecant Calculator

Calculate the cosecant of an angle in degrees, radians or gradians. The cosecant is the reciprocal of the sine.

What is Cosecant?

Cosecant is the reciprocal of sine: csc(θ) = 1 / sin(θ). In a right triangle, it is the ratio of the hypotenuse to the opposite side.

Notable values: csc(30°) = 2, csc(45°) ≈ 1.4142, csc(90°) = 1. Cosecant is undefined where sin(θ) = 0, i.e. 0°, 180°, 360° and integer multiples of 180°.

Unit conversions: 1° = π/180 rad ≈ 0.01745 rad. 1 rad = 180°/π ≈ 57.296°. 400 gradians = 360°.

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