Sine Calculator
Calculate the sine of any angle in degrees or radians. Get the sin value, its inverse (arcsin), the cosecant, and related angle information all in one place.
The sine function is one of the fundamental trigonometric functions. For a right triangle, sin(θ) equals the ratio of the opposite side to the hypotenuse. On the unit circle, sin(θ) gives the y-coordinate of the point at angle θ.
The sine function has a range of [-1, 1] and a period of 360° (2π radians). Key values include sin(0°) = 0, sin(30°) = 0.5, sin(45°) = √2/2 ≈ 0.7071, sin(60°) = √3/2 ≈ 0.8660, and sin(90°) = 1. Sine is positive in Quadrants I and II, and negative in Quadrants III and IV.
The inverse sine function, arcsin(x) or sin⁻¹(x), returns the angle whose sine is x. It is defined for x in [-1, 1] and returns values in [-90°, 90°] (or [-π/2, π/2] radians). The cosecant, csc(θ) = 1/sin(θ), is the reciprocal of sine and is undefined when sin(θ) = 0.