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Sine Calculator

Determine the sine of an angle or find the angle using the opposite side and hypotenuse with fully interactive right triangle visualizers.

Trigonometric Inputs

Adjacent (A)Opposite (O)Hypotenuse (H)θ

Calculated Values

FORMULAsin(θ) = valuesin(θ) = Opposite / Hypotenuse (SOH)
Sin(θ)0.5
Angle in Degrees30°
Angle in Radians0.523599 rad
Sine (sin θ)0.5
Cosine (cos θ)0.866025
Tangent (tan θ)0.57735
Cosecant (csc θ)2

Understanding the Sine Trigonometric Ratio

In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle in a right-angled triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse.

sin(θ) = Opposite / Hypotenuse

This relationship is often memorized using the acronym SOH CAH TOA, where SOH stands for Sine = Opposite / Hypotenuse.

Angle Formats

Our tool supports both Degrees and Radians. Make sure you select the appropriate unit before computing values!

Inverse Sine (Arcsin)

If you know the lengths of the triangle's sides, you can calculate the angle θ using the inverse function: θ = arcsin(O / H).

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