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Trig Ratios Worksheet (SOHCAHTOA)

Write the sine, cosine or tangent of an angle as a fraction using the side lengths. Every triangle has whole-number sides.

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Best for: Geometry / Trigonometry

SOHCAHTOA

Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent. Always identify the sides from the angle you are asked about.

Angle A or angle B?

Problems ask about both acute angles. The opposite and adjacent sides swap when you switch angles — a great check of understanding.

Make it a timed challenge

Put a visual classroom timer on the board and see how many problems students can finish before the time runs out. Print a new version tomorrow and try to beat the score.

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Frequently asked questions

Are the answers simplified?

Yes, each ratio is shown in lowest terms.

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