Year 10 Trigonometry Worksheets (GCSE) | Printable PDFs

Year 10 Trigonometry worksheets for Year 10 Maths (Key Stage 4, GCSE). Students aged 14–15 learn how to use trigonometric ratios to calculate missing lengths and angles in right-angled triangles as well as how to apply the sine and cosine rule. The trick really is knowing how to solve equations involving trigonometric ratios. You may have come across the acronym SOCAHTOA. SOHCAHTOA is an acronym used to remember the three trigonometric ratios in a right-angled triangle.
SOH → Sine = Opposite ÷ Hypotenuse. CAH → Cosine = Adjacent ÷ Hypotenuse. TOA → Tangent = Opposite ÷ Adjacent. In year 10 students apply trigonometry to 3D problems, word problems and advanced topics including the solving trigonometric equations Year 11 Trigonometry Worksheets.

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For more Trigonometry Worksheets, see Year 11 Trigonometry Worksheets


Common Questions about Year 10 Trigonometry

  1. What does SOHCAHTOA help you remember?

    SOHCAHTOA helps you remember the sine, cosine and tangent ratios used to find missing lengths and angles in right-angled triangles.
  2. When should you use sine, cosine or tangent?

    Choose the ratio that involves the sides you know and the side you need to find relative to the given angle.
  3. How is trigonometry used in 3D shapes?

    Complex 3D problems can often be broken into right-angled triangles, allowing trigonometry and Pythagoras to be used to find unknown lengths.

Year 10 Trigonometry Common Mistakes

  1. Common Mistake 1

    A common mistake is choosing the wrong trigonometric ratio because the opposite, adjacent and hypotenuse sides have not been identified correctly.
  2. Common Mistake 2

    Students often forget that trigonometry in GCSE questions usually applies to right-angled triangles, so they may try to use SOHCAHTOA on a triangle without a right angle.
  3. Common Mistake 3

    Another common mistake is rounding too early during calculations, which can make the final answer inaccurate, especially in multi-step 3D trigonometry problems.

Trigonometry Worksheets - Free Worksheets Above

Year 10 discovering trigonometry worksheet preview

Discovering Trigonometry

Year 10 trigonometry (a) missing lengths worksheet preview

Trigonometry (A) Missing Lengths

Year 10 3d trigonometry and pythagoras (a) worksheet preview

3D Trigonometry and Pythagoras (A)