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Cosine Ratio Calculator

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

cos⁡θ=adjacenthypotenuse\cos\theta = \dfrac{\text{adjacent}}{\text{hypotenuse}}
Adjacent8.6603 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
Adjacentcm
Hypotenusecm
Angle θ°

Worked example

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

Using cosθ = adjacent/hypotenuse: Adjacent = 8.6603 cm.

Frequently asked questions

What is the formula for Cosine ratio (CAH)?

cosθ = adjacent/hypotenuse.

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

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

How do you calculate adjacent?

Put the values into cosθ = adjacent/hypotenuse. For example, with Hypotenuse = 10 cm, Angle θ = 30 °, adjacent = 8.6603 cm.

Can I solve for a different value?

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

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