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Sine Ratio Calculator

📐 Trigonometry & Pythagoras. Use the Sine ratio (SOH) formula to find opposite, hypotenuse, angle θ: pick the value you want, type the others, and the answer updates as you go.

sin⁡θ=oppositehypotenuse\sin\theta = \dfrac{\text{opposite}}{\text{hypotenuse}}
Opposite5 cm

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Oppositecm
Hypotenusecm
Angle θ°

Worked example

Find the opposite when Hypotenuse = 10 cm, Angle θ = 30 °.

Using sinθ = opposite/hypotenuse: Opposite = 5 cm.

Frequently asked questions

What is the formula for Sine ratio (SOH)?

sinθ = opposite/hypotenuse.

What do the letters stand for, and what units are used?

Opposite in cm, Hypotenuse in cm, Angle θ in °.

How do you calculate opposite?

Put the values into sinθ = opposite/hypotenuse. For example, with Hypotenuse = 10 cm, Angle θ = 30 °, opposite = 5 cm.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (opposite, hypotenuse, angle θ) and fill in the others: it rearranges the formula for you.

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