TRIGONOMETRY CALCULATOR

SOH: sinθ = opposite ÷ hypotenuse.

CAH: cosθ = adjacent ÷ hypotenuse.

TOA: tanθ = opposite ÷ adjacent.

Use these only for right-angled triangles.

To find opposite from hypotenuse, use opposite = hyp × sinθ.

To find adjacent from hypotenuse, use adjacent = hyp × cosθ.

To find hypotenuse, divide by sinθ or cosθ.

Choose the known side carefully before solving.

Use tanθ = opposite ÷ adjacent.

Then use θ = tan⁻¹(opposite ÷ adjacent).

Angle answers are shown in degrees.

This page uses degrees, not radians.

This calculator uses SOHCAHTOA for right-triangle questions.

It can find opposite, adjacent, hypotenuse or angle θ.

It shows the formula, substitution and rounded answer.

It is designed for GCSE maths and homework checking.

Choose whether to find a side or the angle.

For a side, enter angle θ and the known side length.

For an angle, enter opposite and adjacent.

Press SOLVE or Enter to calculate.

Opposite: hyp=10, θ=30°, opp=10sin30=5.

Adjacent: hyp=10, θ=30°, adj=10cos30≈8.66.

Hypotenuse: opp=5, θ=30°, hyp=5÷sin30=10.

Angle: opp=5, adj=8.66 gives θ≈30°.

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Students use it for GCSE trigonometry homework and revision.

Teachers use it to demonstrate SOHCAHTOA substitution.

Tutors use it for right-triangle side and angle examples.

Parents can use it to support maths homework.

Use it for ramps, ladders, bearings, heights and distances.

Use it when a right triangle gives one side and one angle.

Use it to check whether sine, cosine or tangent is needed.

Use Pythagoras when two sides are known and no angle is needed.

Trigonometry connects with triangles, Pythagoras and geometry.

Does it use degrees? Yes, all angles are degrees.

Is it for any triangle? No, right triangles only.

What is SOHCAHTOA? Sine, cosine and tangent ratios.

trig calculator • SOH CAH TOA • right triangle angle finder

GCSE trigonometry help • missing side trigonometry tool