What is the sine function?

Sine is a trigonometric function that gives the ratio of the opposite side to the hypotenuse in a right triangle, or the y-coordinate on the unit circle.

What is the range of sine?

The sine function outputs values between -1 and 1. sin(90°) = 1 and sin(270°) = -1.

What is the period of sine?

Sine has a period of 360° (2pi radians). The function repeats every full rotation.

Sine Calculator

Calculate the sine of an angle in degrees or radians. Also shows related trigonometric values.

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Angle (degrees)

deg

Sine Val

0.50000000

Cosine Val0.86602540

Tangent Val0.57735027

Radians0.523599

View formula & how it works →

Sine Function

Definition

In a right triangle, sin(angle) = opposite / hypotenuse.

On the unit circle, sin(angle) is the y-coordinate of the point at that angle.

Key Values

Anglesin 0°0 30°0.5 45°√2/2 ≈ 0.7071 60°√3/2 ≈ 0.8660 90°1

Example Calculation

Calculate sin(30°).

0130° in radians = 30 × pi/180 = pi/6 ≈ 0.5236
02sin(30°) = 0.5
03cos(30°) = √3/2 ≈ 0.8660
04tan(30°) = 1/√3 ≈ 0.5774

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Related Calculators

Cosine Calculator

Calculate cosine values.

Tangent Calculator

Calculate tangent values.

Inverse Sine Calculator

Calculate arcsin values.